A144165 - OEIS

%I #10 May 26 2013 02:45:37

%S 1,12,123,1208,11685,112380,1078735,10352592,99411561,955512620,

%T 9194193987,88570160904,854185695181,8246896161756,79703725659735,

%U 771064720616480,7466225595842385,72357598508103756,701804124937158283

%N JacobiP[n,1,2,5].

%H Vincenzo Librandi, <a href="/A144165/b144165.txt">Table of n, a(n) for n = 1..200</a>

%F 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

%F a(n) ~ sqrt(360+147*sqrt(6))*(5+2*sqrt(6))^n/(36*sqrt(Pi*n)) . - _Vaclav Kotesovec_, Oct 20 2012

%t lst={};Do[AppendTo[lst,JacobiP[n,1,2,5]],{n,0,6^2}];lst

%t JacobiP[Range[0,20],1,2,5] (* _Harvey P. Dale_, Sep 23 2012 *)

%K nonn

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Sep 12 2008