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A096946 Ninth column of (1,5)-Pascal triangle A096940. 2

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

%S 5,41,189,645,1815,4455,9867,20163,38610,70070,121550,202878,327522,

%T 513570,784890,1172490,1716099,2465991,3485075,4851275,6660225,

%U 9028305,12096045,16031925,21036600,27347580,35244396,45054284,57158420

%N Ninth column of (1,5)-Pascal triangle A096940.

%C If Y is a 5-subset of an n-set X then, for n>=12, a(n-12) is the number of 8-subsets of X having at most one element in common with Y. > - _Milan Janjic_, Dec 08 2007

%F a(n)= (n+40)*binomial(n+7, 7)/8 = 5*b(n)-4*b(n-1), with b(n):=A000581(n+8)=binomial(n+8, 8).

%F G.f.: (5-4*x)/(1-x)^9.

%Y Eighth column: A096945; tenth column: A096947.

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Jul 16 2004

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