A366135 -id:A366135 - cp's OEIS frontend

A366933 Expansion of Sum_{k>=1} k^4 * x^k/(1 - x^k)^4.

1, 20, 91, 340, 660, 1836, 2485, 5560, 7536, 13280, 14927, 31360, 29016, 49924, 60390, 89776, 84490, 152496, 131651, 226520, 227066, 299420, 282141, 514080, 415425, 581776, 614070, 850864, 711776, 1226520, 928977, 1442400, 1362042, 1693064, 1644930, 2609076

Offset: 1

Seiichi Manyama, Oct 29 2023

Cf. A064987, A366135, A366934.
Cf. A059358, A343544.
Cf. A343573.

a(n) = sumdiv(n, d, d^4*binomial(n/d+2, 3));

a(n) = Sum_{d|n} d^4 * binomial(n/d+2,3).

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

Original entry on oeis.org

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

Seiichi Manyama, Oct 29 2023

nonn

Cf. A064987, A366135, A366933.
Cf. A073570, A343545.
Cf. A343573.

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

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

cp's OEIS Frontend

A366933 Expansion of Sum_{k>=1} k^4 * x^k/(1 - x^k)^4.

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