Problem 55205. Nuemann Polynomials

Return the coefficients of nth (n>=0) Nuemann polynomial, (a sequence in 1/t) as polynomials in alpha.
The expected output is a cell array, with each element as a polynomial in increasing powers of alpha. For example -
%Note - The coefficient of 1/t^0 will always be 0
n=1;
O1(alpha)(t)=2*(1+alpha)/t^2
Output = {[0], [2 2]}
%explanation - Coefficient of 1/t^1 1/t^2 in which each element is polynomial in alpha
n=3;
O3(alpha)(t)=2*(1+alpha)*(3+alpha)/t^2 + 8*(1+alpha)*(2+alpha)*(3+alpha)/t^4
Output = {[0], [2 8 6], [0], [8 48 88 48]}
%explanation - Coefficient of 1/t^1 1/t^2 1/t^3 1/t^4
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62.5% Correct | 37.5% Incorrect
Last Solution submitted on Sep 22, 2025

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