Find the k-th entry of the n-th row of a α-number triangle
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This question basically asks you to pull elements from Pascal's triangle however also applying to triangles with different values of α, meaning the first and last number of every row can be any number. the values are created by adding the numbers above it to the left and right.
This what I have so far:
f_nt <- function(n, k, alpha) {
if (k<0|k>n) {
return(0)
}
if (k==0 | k==n) {
return(alpha)
}
else {
return(alpha*(n-1))
}
}
I know the second part is incorrect however I am having trouble figuring out what the equation should be. Can anyone help?
r
edited 2 days ago
m0nhawk
14.9k83160
asked 2 days ago
er427lts
1
New contributor
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
up vote
-2
down vote
favorite
This question basically asks you to pull elements from Pascal's triangle however also applying to triangles with different values of α, meaning the first and last number of every row can be any number. the values are created by adding the numbers above it to the left and right.
This what I have so far:
f_nt <- function(n, k, alpha) {
if (k<0|k>n) {
return(0)
}
if (k==0 | k==n) {
return(alpha)
}
else {
return(alpha*(n-1))
}
}
I know the second part is incorrect however I am having trouble figuring out what the equation should be. Can anyone help?
r
edited 2 days ago
m0nhawk
14.9k83160
asked 2 days ago
er427lts
1
New contributor
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Not exactly sure what you mean when the first and last number can be any number. Do these all have the value alpha? If you want the coefficient in Pascal's triangle, ischoose(n,k)not what you're looking for?
– mickey
2 days ago
basically the first and last number of every row are a set number, alpha. Now that I am thinking about it more I think this problem revolves more around creating a list with sublists. the larger list being the triangle and each sublist being each row of the triangle. and basically each element in the row, beside the first and last element, is the sum of the elements above it in the previous row.
– er427lts
yesterday
I still don't follow. Are you trying to get k-th entry from the polynomial(alpha*x + alpha*y)^n? Are you trying to create an R object that has all of these coefficients?
– mickey
yesterday
add a comment |
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
This question basically asks you to pull elements from Pascal's triangle however also applying to triangles with different values of α, meaning the first and last number of every row can be any number. the values are created by adding the numbers above it to the left and right.
This what I have so far:
f_nt <- function(n, k, alpha) {
if (k<0|k>n) {
return(0)
}
if (k==0 | k==n) {
return(alpha)
}
else {
return(alpha*(n-1))
}
}
I know the second part is incorrect however I am having trouble figuring out what the equation should be. Can anyone help?
r
edited 2 days ago
m0nhawk
14.9k83160
asked 2 days ago
er427lts
1
New contributor
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
This question basically asks you to pull elements from Pascal's triangle however also applying to triangles with different values of α, meaning the first and last number of every row can be any number. the values are created by adding the numbers above it to the left and right.
This what I have so far:
f_nt <- function(n, k, alpha) {
if (k<0|k>n) {
return(0)
}
if (k==0 | k==n) {
return(alpha)
}
else {
return(alpha*(n-1))
}
}
I know the second part is incorrect however I am having trouble figuring out what the equation should be. Can anyone help?
r
r
edited 2 days ago
m0nhawk
14.9k83160
asked 2 days ago
er427lts
1
New contributor
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 days ago
m0nhawk
14.9k83160
asked 2 days ago
er427lts
1
New contributor
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 days ago
m0nhawk
14.9k83160
edited 2 days ago
m0nhawk
14.9k83160
edited 2 days ago
m0nhawk
14.9k83160
14.9k83160
asked 2 days ago
er427lts
1
New contributor
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
er427lts
1
asked 2 days ago
er427lts
1
1
New contributor
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
er427lts is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Not exactly sure what you mean when the first and last number can be any number. Do these all have the value alpha? If you want the coefficient in Pascal's triangle, ischoose(n,k)not what you're looking for?
– mickey
2 days ago
basically the first and last number of every row are a set number, alpha. Now that I am thinking about it more I think this problem revolves more around creating a list with sublists. the larger list being the triangle and each sublist being each row of the triangle. and basically each element in the row, beside the first and last element, is the sum of the elements above it in the previous row.
– er427lts
yesterday
I still don't follow. Are you trying to get k-th entry from the polynomial(alpha*x + alpha*y)^n? Are you trying to create an R object that has all of these coefficients?
– mickey
yesterday
add a comment |
Not exactly sure what you mean when the first and last number can be any number. Do these all have the value alpha? If you want the coefficient in Pascal's triangle, ischoose(n,k)not what you're looking for?
– mickey
2 days ago
basically the first and last number of every row are a set number, alpha. Now that I am thinking about it more I think this problem revolves more around creating a list with sublists. the larger list being the triangle and each sublist being each row of the triangle. and basically each element in the row, beside the first and last element, is the sum of the elements above it in the previous row.
– er427lts
yesterday
I still don't follow. Are you trying to get k-th entry from the polynomial(alpha*x + alpha*y)^n? Are you trying to create an R object that has all of these coefficients?
– mickey
yesterday
Not exactly sure what you mean when the first and last number can be any number. Do these all have the value alpha? If you want the coefficient in Pascal's triangle, is
choose(n,k) not what you're looking for?– mickey
2 days ago
Not exactly sure what you mean when the first and last number can be any number. Do these all have the value alpha? If you want the coefficient in Pascal's triangle, is
choose(n,k) not what you're looking for?– mickey
2 days ago
basically the first and last number of every row are a set number, alpha. Now that I am thinking about it more I think this problem revolves more around creating a list with sublists. the larger list being the triangle and each sublist being each row of the triangle. and basically each element in the row, beside the first and last element, is the sum of the elements above it in the previous row.
– er427lts
yesterday
basically the first and last number of every row are a set number, alpha. Now that I am thinking about it more I think this problem revolves more around creating a list with sublists. the larger list being the triangle and each sublist being each row of the triangle. and basically each element in the row, beside the first and last element, is the sum of the elements above it in the previous row.
– er427lts
yesterday
I still don't follow. Are you trying to get k-th entry from the polynomial
(alpha*x + alpha*y)^n? Are you trying to create an R object that has all of these coefficients?– mickey
yesterday
I still don't follow. Are you trying to get k-th entry from the polynomial
(alpha*x + alpha*y)^n? Are you trying to create an R object that has all of these coefficients?– mickey
yesterday
add a comment |
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Not exactly sure what you mean when the first and last number can be any number. Do these all have the value alpha? If you want the coefficient in Pascal's triangle, is
choose(n,k)not what you're looking for?– mickey
2 days ago
basically the first and last number of every row are a set number, alpha. Now that I am thinking about it more I think this problem revolves more around creating a list with sublists. the larger list being the triangle and each sublist being each row of the triangle. and basically each element in the row, beside the first and last element, is the sum of the elements above it in the previous row.
– er427lts
yesterday
I still don't follow. Are you trying to get k-th entry from the polynomial
(alpha*x + alpha*y)^n? Are you trying to create an R object that has all of these coefficients?– mickey
yesterday