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i have a function defined as: (cant post links or images so ill put the latex code)

\begin{align} f(0) &= 1\\ f(n) &= 1 + \sum_{j=0}^{n-1}f(j) \text{ for every } n > 0 \end{align}

how can i replicate this function in sagemath using the sum function? i know it can be done in pure python with recursion but then whats the point of sagemath and symbolic calculation?

what ive tried so far is:

f(x) = 1 if x == 0 else sum(1+f(j-1), j, 0, x-1)

but i get the following error:

NameError: name 'f' is not defined

now i know its not possible to use recursion on a variable like this but there must be some tricky way to go about doing that (i hope so and thats why im here)

thanks in advance

i have a function defined as: (cant post links or images so ill put the latex code)as

\begin{align} f(0) &= 1\\ f(n) &= 1 + \sum_{j=0}^{n-1}f(j) \text{ for every } n > 0 \end{align}

https ://imgur.com/a/SfF2Edl.png

how can i replicate this function in sagemath using the sum function? i know it can be done in pure python with recursion but then whats the point of sagemath and symbolic calculation?

what ive tried so far is:

f(x) = 1 if x == 0 else sum(1+f(j-1), j, 0, x-1)

but i get the following error:

NameError: name 'f' is not defined

now i know its not possible to use recursion on a variable like this but there must be some tricky way to go about doing that (i hope so and thats why im here)

thanks in advance

i have a function defined as

https ://imgur.com/a/SfF2Edl.pnghttps://imgur.com/a/SfF2Edl.png

how can i replicate this function in sagemath using the sum function? i know it can be done in pure python with recursion but then whats the point of sagemath and symbolic calculation?

what ive tried so far is:

f(x) = 1 if x == 0 else sum(1+f(j-1), j, 0, x-1)

but i get the following error:

NameError: name 'f' is not defined

now i know its not possible to use recursion on a variable like this but there must be some tricky way to go about doing that (i hope so and thats why im here)

thanks in advance

i have a function defined as

https://imgur.com/a/SfF2Edl.png

how can i replicate this function in sagemath using the sum function? i know it can be done in pure python with recursion but then whats the point of sagemath and symbolic calculation?

what ive tried so far is:

f(x) = 1 if x == 0 else sum(1+f(j-1), j, 0, x-1)

but i get the following error:

NameError: name 'f' is not defined

now i know its not possible to use recursion on a variable like this but there must be some tricky way to go about doing that (i hope so and thats why im here)

thanks in advance