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A066398 Reversion of g.f. (with constant term included) for partition numbers. 5
1, -1, 0, 2, -3, 0, 5, 0, -21, 14, 117, -342, 210, 935, -2565, 1864, 2751, -3945, -8074, 4046, 108927, -333832, 246895, 887040, -2764795, 3062749, -1372098, 4775900, -9367698, -55130625, 299939766, -537241936, -140898285, 2464380030, -4060507784 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..34.

Peter Bala, Representing a sequence as [x^n]G(x)^n

Index entries for reversions of series

FORMULA

The o.g.f. A(x) = 1 - x + 2*x^3 - 3*x^4 + 5*x^6 - ... satisfies [x^n](1/A(x))^n = sigma(n) = A000203(n) for n >= 1. - Peter Bala, Aug 23 2015

G.f. A(x) satisfies: A(x) = Product_{k>=1} (1 - x^k*A(x)^k). - Ilya Gutkovskiy, Mar 21 2018

CROSSREFS

Cf. A000041, A000203, A007312.

Sequence in context: A082809 A070245 A243868 * A138197 A140664 A071321

Adjacent sequences:  A066395 A066396 A066397 * A066399 A066400 A066401

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Dec 25 2001

STATUS

approved

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Last modified October 23 08:57 EDT 2019. Contains 328345 sequences. (Running on oeis4.)