OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
FORMULA
G.f.: (1-x)/sqrt(1-8*x+4*x^2). - Vladeta Jovovic, May 13 2003
D-finite with recurrence: (n-1)*n*a(n) = 4*(n-1)*(2*n-1)*a(n-1) - 4*(n-2)*n*a(n-2). - Vaclav Kotesovec, Oct 09 2012
a(n) ~ sqrt(6+4*sqrt(3))*(4+2*sqrt(3))^n/(4*sqrt(Pi*n)). - Vaclav Kotesovec, Oct 09 2012
D-finite with recurrence n*a(n) +3*(-3*n+2)*a(n-1) +12*(n-2)*a(n-2) +4*(-n+3)*a(n-3)=0. - R. J. Mathar, Jun 13 2013
MATHEMATICA
Table[SeriesCoefficient[(1-x)/Sqrt[1-8*x+4*x^2], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 09 2012 *)
PROG
(PARI) a(n)=(2*pollegendre(n, 2) - pollegendre(n-1, 2))<<(n-1) \\ Charles R Greathouse IV, Mar 18 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved
