A063027 Reversion of y - y^2 - y^3 + y^4 - y^5.

0, 1, 1, 3, 9, 33, 126, 510, 2127, 9113, 39809, 176735, 794937, 3615045, 16593156, 76773972, 357692784, 1676664234, 7901590287, 37416151209, 177935914254, 849461877990, 4069507806000, 19557840481380, 94267485120510, 455575848843726, 2207117072396682, 10717034365197286

Offset: 0

Author

Olivier Gérard, Jul 05 2001

Keywords

• nonn
• easy

Links

• Index entries for reversions of series

Programs

Mathematica

CoefficientList[InverseSeries[Series[y - y^2 - y^3 + y^4 - y^5, {y, 0, 30}], x], x]

PARI

concat(0, Vec(serreverse(x - x^2 - x^3 + x^4 - x^5 + O(x^30)))) \\ Michel Marcus, Jan 08 2019

Sage

# uses[Reversion from A063022]
Reversion(x - x^2 - x^3 + x^4 - x^5, 24) # Peter Luschny, Jan 08 2019

Formula

D-finite with recurrence 6289*n*(n-1)*(n-2) *(n-3)*a(n) -4*(n-1)*(n-2)*(n-3) *(7679*n -12346)*a(n-1) -2*(n-2)*(n-3)*(12781*n^2 -51281*n +57160)*a(n-2) +4*(n-3) *(23279*n^3 -195345*n^2 +561232*n -561366)*a(n-3) +(-18127*n^4 +159410*n^3 -257225*n^2 -962690*n+2410872) *a(n-4) -40*(5*n-22) *(5*n-26)*(5*n-24)*(5*n-23)*a(n-5)=0 for n-5>=1. - R. J. Mathar, Mar 24 2023

Extensions

More terms from Michel Marcus, Jan 08 2019