OFFSET
1,1
LINKS
Harry J. Smith, Table of n, a(n) for n = 1..100
FORMULA
G.f.: (1+8/s)^(3/2)*(s-4)*s^5/(3*(s^4+8*s^3-s+1)*(s^2+4*s-8)) - 1/(1-x) where (s+8)*s^3*x-s+1 = 0. - Mark van Hoeij, May 02 2013
a(n) ~ sqrt(3) * 64^(n+1) / (189*sqrt(Pi*n)). - Vaclav Kotesovec, Jun 07 2019
MAPLE
s := RootOf((s+8)*s^3*x-s+1, s):
series( (1+8/s)^(3/2)*(s-4)*s^5/(3*(s^4+8*s^3-s+1)*(s^2+4*s-8)) - 1/(1-x), x=0, 30); # Mark van Hoeij, May 02 2013
MATHEMATICA
Accumulate[Table[Binomial[6n, 3n], {n, 20}]] (* Harvey P. Dale, Apr 04 2020 *)
PROG
(PARI) { a=0; for (n=1, 100, write("b066798.txt", n, " ", a+=binomial(6*n, 3*n)) ) } \\ Harry J. Smith, Mar 28 2010
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Jan 18 2002
STATUS
approved