A063029 Reversion of y - y^2 - y^3 + y^5.

0, 1, 1, 3, 10, 37, 147, 610, 2616, 11500, 51546, 234689, 1082393, 5046167, 23742030, 112589232, 537589895, 2582351997, 12470621690, 60508557435, 294841397025, 1442186809360, 7078805571555, 34855302159030

Offset

0,4

Links

Table of n, a(n) for n=0..23.

Index entries for reversions of series

Formula

D-finite with recurrence +23*n*(n-1) *(n-2)*(n-3) *(702158834117*n -2642264708339)*a(n) +(n-1)*(n-2)*(n-3) *(274111032489685*n^2 -1441648119663883*n +1547289920204088)*a(n-1) -(n-2)*(n-3) *(1306367760610289*n^3 -10158607490993254*n^2 +24925531246659317*n -19653659823998640)*a(n-2) -(n-3) *(2654938487618345*n^4 -29820396132636257*n^3 +121541792292520624*n^2 -210370276220598772*n +127331861061054480)*a(n-3) +5*(-447623853411875*n^5 +7022847379648250*n^4 -42854652051789925*n^3 +125796172798988470*n^2 -174164785968772608*n +87171729139760112)*a(n-4) -5*(5*n-22) *(11699442785*n +64419340659)*(5*n-26) *(5*n-24)*(5*n-23)*a(n-5)=0. - R. J. Mathar, Jul 23 2023

Mathematica

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

Crossrefs

Sequence in context: A366231 A046632 A151057 * A199874 A380651 A151058

Adjacent sequences: A063026 A063027 A063028 * A063030 A063031 A063032

Keyword

nonn,easy

Author

Olivier Gérard, Jul 05 2001

Status

approved