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