OFFSET
0,2
COMMENTS
Hankel transform is 2^n*3^C(n+1,2)*5^C(n,2). A152601(n)=a(n+1)/2.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
FORMULA
a(n) = 2^n * (4*(n+1)*LegendreP(n+1,4) - (31*n+16)*LegendreP(n,4))/(3*n*(n-1)) for n>1. - Mark van Hoeij, May 27 2010
Recurrence: n*a(n) = 8*(2*n-3)*a(n-1) - 4*(n-3)*a(n-2). - Vaclav Kotesovec, Oct 20 2012
a(n) ~ sqrt(8*sqrt(15)-30)*(8+2*sqrt(15))^n/(6*sqrt(Pi)*n^(3/2)). - Vaclav Kotesovec, Oct 20 2012
MATHEMATICA
Flatten[{1, 2, Table[2^n*(4*(n+1)*LegendreP[n+1, 4]-(31*n+16)*LegendreP[n, 4])/(3*n*(n-1)), {n, 2, 20}]}] (* Vaclav Kotesovec, Oct 20 2012 *)
PROG
(PARI) a(n)=if(n>1, (4*(n+1)*pollegendre(n+1, 4) - (31*n+16)*pollegendre(n, 4))/(3*n*(n-1))<<n, n+1) \\ Charles R Greathouse IV, Mar 19 2017
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Dec 09 2008
STATUS
approved