A144166 JacobiP[n,1,3,5].

1, 14, 157, 1636, 16505, 163810, 1611309, 15768744, 153859377, 1498667990, 14583950557, 141854451788, 1379568224489, 13417231159402, 130514486317805, 1269893090519760, 12359796945574497, 120338685632742942

Offset

1,2

Links

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

Formula

Recurrence: 2*(n-1)*(n+3)*a(n) = (21*n^2+29*n-2)*a(n-1) - (12*n^2-13*n-1)*a(n-2) + (n-2)*n*a(n-3) . - Vaclav Kotesovec, Oct 20 2012

a(n) ~ sqrt(1188+485*sqrt(6))*(5+2*sqrt(6))^n/(36*sqrt(Pi*n)) . - Vaclav Kotesovec, Oct 20 2012

Mathematica

lst={}; Do[AppendTo[lst, JacobiP[n, 1, 3, 5]], {n, 0, 6^2}]; lst
JacobiP[Range[0, 25], 1, 3, 5] (* Vincenzo Librandi, May 26 2013 *)

Crossrefs

Sequence in context: A016157 A238770 A199703 * A122187 A268946 A343093

Adjacent sequences: A144163 A144164 A144165 * A144167 A144168 A144169

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Sep 12 2008

Status

approved