A366934 Expansion of Sum_{k>=1} k^5 * x^k/(1 - x^k)^5.

1, 37, 258, 1219, 3195, 9597, 17017, 39338, 63189, 118580, 162052, 316974, 373113, 630959, 826320, 1262692, 1424702, 2353896, 2483414, 3912790, 4397862, 6003569, 6451293, 10240908, 10004850, 13819832, 15382332, 20810398, 20547109, 30847530, 28675527, 40458504, 41853306

Offset

1,2

Links

Table of n, a(n) for n=1..33.

Formula

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

Prog

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

Crossrefs

Cf. A064987, A366135, A366933.

Cf. A073570, A343545.

Cf. A343573.

Sequence in context: A142627 A142308 A105463 * A119545 A131278 A144497

Adjacent sequences: A366931 A366932 A366933 * A366935 A366936 A366937

Keyword

nonn

Author

Seiichi Manyama, Oct 29 2023

Status

approved