A095670 - OEIS

%I #5 Oct 12 2012 14:40:21

%S 4,29,120,372,960,2178,4488,8580,15444,26455,43472,68952,106080,

%T 158916,232560,333336,468996,648945,884488,1189100,1578720,2072070,

%U 2691000,3460860,4410900,5574699,6990624,8702320,10759232,13217160,16138848

%N Eighth column (m=7) of (1,4)-Pascal triangle A095666.

%C If Y is a 4-subset of an n-set X then, for n>=10, a(n-10) is the number of 7-subsets of X having at most one element in common with Y. - _Milan Janjic_, Dec 08 2007

%F G.f.: (4-3*x)/(1-x)^8.

%F a(n) = 4*b(n)-3*b(n-1) =(n+28)*binomial(n+6, 6)/7, with b(n):=binomial(n+7, 7)= A000580(n+7, 7).

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Jun 11 2004