The NoneType error is presumably a bug in the sage wrapper code.
Possibly related is that Maxima cannot compute the sum with its
default algorithm. It does have a simplify_sum function that can do it
though:
(%i19) load (simplify_sum);
(%o19) "/usr/share/maxima/5.45.1/share/solve_rec/simplify_sum.mac"
(%i20) sum((4*n + 1)/factorial(n), n, 1, inf), simpsum;
(%o20) 'sum((4*n+1)/n!,n,1,inf)
(%i21) simplify_sum(%);
(%o21) 4*gamma_incomplete_lower(2,-1)+10*sqrt(%e)*sinh(1/2)
This is an indirect representation of 5*e - 1 as returned by SymPy.
On Fri, 9 Feb 2024 at 14:42, Eric Gourgoulhon <egourgoul...@gmail.com> wrote:
>
> I confirm the bug with Sage 10.3.beta7. It seems to be linked with the Maxima
> interface.
> Meanwhile, a workaround is to use the SymPy interface:
>
> sage: sum((4*n+1)/factorial(n), n, 1, oo, algorithm='sympy')
> 5*e - 1
>
> Eric.
> Le vendredi 9 février 2024 à 11:57:08 UTC+1, Georgi Guninski a écrit :
>>
>> hi,
>>
>> var('n')
>> sum((4*n+1)/factorial(n),n,1,oo)
>>
>> TypeError: 'NoneType' object is not callable
>
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