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Expansion of Sum_{k>=1} k^5 * x^k/(1 - x^k)^5.
1

%I #7 Oct 29 2023 09:46:07

%S 1,37,258,1219,3195,9597,17017,39338,63189,118580,162052,316974,

%T 373113,630959,826320,1262692,1424702,2353896,2483414,3912790,4397862,

%U 6003569,6451293,10240908,10004850,13819832,15382332,20810398,20547109,30847530,28675527,40458504,41853306

%N Expansion of Sum_{k>=1} k^5 * x^k/(1 - x^k)^5.

%F a(n) = Sum_{d|n} d^5 * binomial(n/d+3,4).

%o (PARI) a(n) = sumdiv(n, d, d^5*binomial(n/d+3, 4));

%Y Cf. A064987, A366135, A366933.

%Y Cf. A073570, A343545.

%Y Cf. A343573.

%K nonn

%O 1,2

%A _Seiichi Manyama_, Oct 29 2023