A050393 Reversion of partitions into distinct parts A000009.

1, -1, 0, 3, -7, 3, 31, -105, 101, 419, -1971, 2923, 5800, -40388, 81147, 64075, -854408, 2204543, -56096, -18070916, 58866158, -38939227, -371701743, 1544696638, -1870286829, -7166094999, 39743193694, -68677654555

Offset: 1

Author

Christian G. Bower, Nov 15 1999

Keywords

• sign

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200
• N. J. A. Sloane, Transforms
• Index entries for reversions of series

Crossrefs

Cf. A000009, A007312, A050394.

Programs

Mathematica

InverseSeries[QPochhammer[-1, x]/2 + O[x]^20][[3]] (* Vladimir Reshetnikov, Sep 22 2016 *)

Formula

G.f. A(x) satisfies: A(x) = -1 + (1 + x) * Product_{k>=2} 1/(1 + A(x)^k). - Ilya Gutkovskiy, Apr 23 2020