OFFSET
2,3
COMMENTS
LINKS
Solomon W. Golomb, Iterated binomial coefficients, Amer. Math. Monthly, 87 (1980), 719-727.
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
G.f.: x^3*(-1-7*x+2*x^2+x^3)/(x-1)^7. - R. J. Mathar, Dec 08 2010
MAPLE
A093567:=n->binomial(binomial(n, 2), 3) - binomial(binomial(n, 3), 2); seq(A093567(n), n=2..30); # Wesley Ivan Hurt, Feb 02 2014
MATHEMATICA
Table[ Binomial[ Binomial[n, 2], 3] - Binomial[ Binomial[n, 3], 2], {n, 2, 34}]
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 1, 14, 75, 265, 735, 1736}, 40] (* Harvey P. Dale, Jun 12 2016 *)
PROG
(PARI) a(n) = binomial(binomial(n, 2), 3) - binomial(binomial(n, 3), 2); \\ Michel Marcus, Oct 01 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Robert G. Wilson v and Santi Spadaro, Mar 31 2004
STATUS
approved