A144165 JacobiP[n,1,2,5].

1, 12, 123, 1208, 11685, 112380, 1078735, 10352592, 99411561, 955512620, 9194193987, 88570160904, 854185695181, 8246896161756, 79703725659735, 771064720616480, 7466225595842385, 72357598508103756, 701804124937158283

Offset

1,2

Links

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

Formula

Recurrence: (n+2)*(38*n-37)*a(n) = 2*(190*n^2+97*n-18)*a(n-1) - (38*n^2-59*n+72)*a(n-2) - 6*(n-2)*a(n-3) . - Vaclav Kotesovec, Oct 20 2012

a(n) ~ sqrt(360+147*sqrt(6))*(5+2*sqrt(6))^n/(36*sqrt(Pi*n)) . - Vaclav Kotesovec, Oct 20 2012

Mathematica

lst={}; Do[AppendTo[lst, JacobiP[n, 1, 2, 5]], {n, 0, 6^2}]; lst
JacobiP[Range[0, 20], 1, 2, 5] (* Harvey P. Dale, Sep 23 2012 *)

Crossrefs

Sequence in context: A127422 A278983 A079847 * A113572 A037701 A037610

Adjacent sequences: A144162 A144163 A144164 * A144166 A144167 A144168

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Sep 12 2008

Status

approved