A381170 Euler transform of n^2 * A065959(n).

1, 1, 37, 289, 2107, 14329, 105187, 693579, 4512054, 28468770, 176428599, 1065826203, 6323626404, 36816785552, 210944620532, 1189766311028, 6615412814561, 36287015790029, 196547683500294, 1051919158699442, 5566679104757415, 29144209704259923, 151039019038054896

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

G.f.: 1/Product_{k>=1} (1 - x^k)^(k^2 * A065959(k)).

G.f.: exp( Sum_{k>=1} sigma_3(k^2) * x^k/k ).

a(0) = 1; a(n) = (1/n) * Sum_{k=1..n} sigma_3(k^2) * a(n-k).

Prog

(PARI) my(N=30, x='x+O('x^N)); Vec(exp(sum(k=1, N, sigma(k^2, 3)*x^k/k)))

Crossrefs

Cf. A156733, A381709.

Cf. A065959.

Sequence in context: A142234 A215632 A165381 * A086840 A190418 A200889

Adjacent sequences: A381167 A381168 A381169 * A381171 A381172 A381173

Keyword

nonn

Author

Seiichi Manyama, Mar 04 2025

Status

approved