OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
a(n) = 70*A000581(n-8). - Michel Marcus, Jul 31 2015
From Amiram Eldar, Aug 30 2022: (Start)
Sum_{n>=0} 1/a(n) = 4/245.
Sum_{n>=0} (-1)^n/a(n) = 512*log(2)/35 - 37216/3675. (End)
EXAMPLE
a(0): C(0+4,4)*C(0+8,4) = C(4,4)*C(8,4) = 1*70 = 70.
a(7): C(5+4,4)*C(5+8,4) = C(9,4)*(13,4) = 126*715 = 90090.
MAPLE
A104475:=n->binomial(n+4, 4)*binomial(n+8, 4): seq(A104475(n), n=0..40); # Wesley Ivan Hurt, Jan 29 2017
MATHEMATICA
f[n_] := Binomial[n + 4, 4]Binomial[n + 8, 4]; Table[ f[n], {n, 0, 25}] (* Robert G. Wilson v, Apr 20 2005 *)
PROG
(PARI) vector(30, n, n--; binomial(n+4, 4)*binomial(n+8, 4)) \\ Michel Marcus, Jul 31 2015
(Magma) [Binomial(n+4, 4)*Binomial(n+8, 4): n in [0..30]]; // Vincenzo Librandi, Jul 31 2015
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Zerinvary Lajos, Apr 18 2005
EXTENSIONS
More terms from Robert G. Wilson v, Apr 20 2005
STATUS
approved