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

1,4

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

N. J. A. Sloane, Transforms

Index entries for reversions of series

Formula

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

Mathematica

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

Crossrefs

Cf. A000009, A007312, A050394.

Sequence in context: A049479 A125314 A213244 * A110778 A200129 A365729

Adjacent sequences: A050390 A050391 A050392 * A050394 A050395 A050396

Keyword

sign

Author

Christian G. Bower, Nov 15 1999

Status

approved