A283242 Expansion of exp( Sum_{n>=1} -sigma_2(2*n)*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

0,2

Links

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

Formula

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

Crossrefs

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).

Sequence in context: A191435 A128142 A213550 * A246209 A297979 A298630

Adjacent sequences: A283239 A283240 A283241 * A283243 A283244 A283245

Keyword

sign

Author

Seiichi Manyama, Mar 03 2017

Status

approved