A283243 -id:A283243 - cp's OEIS frontend

A283242 Expansion of exp( Sum_{n>=1} -sigma_2(2n)x^n/n ) in powers of x.

1, -5, 2, 15, 12, -36, -92, -17, 167, 358, 283, -293, -1321, -2012, -1101, 2299, 7296, 10505, 6901, -7705, -31240, -52490, -51336, -6032, 91521, 217064, 303776, 250595, -36282, -575622, -1234465, -1684515, -1448538, -66980, 2610835, 6087681, 8990575

Offset: 0

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Seiichi Manyama, Mar 03 2017

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Seiichi Manyama, Table of n, a(n) for n = 0..1000

Cf. A283224 (exp( Sum_{n>=1} sigma_2(2*n)*x^n/n )).
Cf. exp( Sum_{n>=1} -sigma_k(2*n)*x^n/n ): A115110 (k=1), this sequence (k=2).
Cf. exp( Sum_{n>=1} -sigma_2(m*n)*x^n/n ): A073592 (m=1), this sequence (m=2), A283243 (m=3).

a(n) = -(1/n)*Sum_{k=1..n} sigma_2(2*k)*a(n-k). - Seiichi Manyama, Mar 04 2017

cp's OEIS Frontend

A283242 Expansion of exp( Sum_{n>=1} -sigma_2(2n)x^n/n ) in powers of x.

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cp's OEIS Frontend

A283242 Expansion of exp( Sum_{n>=1} -sigma_2(2*n)*x^n/n ) in powers of x.

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A283242 Expansion of exp( Sum_{n>=1} -sigma_2(2n)x^n/n ) in powers of x.