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A095663 Eighth column (m=7) of (1,3)-Pascal triangle A095660. 4


%S 3,22,92,288,750,1716,3564,6864,12441,21450,35464,56576,87516,131784,

%T 193800,279072,394383,547998,749892,1012000,1348490,1776060,2314260,

%U 2985840,3817125,4838418,6084432,7594752,9414328,11594000,14191056

%N Eighth column (m=7) of (1,3)-Pascal triangle A095660.

%C If Y is a 3-subset of an n-set X then, for n>=9, a(n-9) is the number of 7-subsets of X having at most one element in common with Y. - _Milan Janjic_, Nov 23 2007

%F G.f.: (3-2*x)/(1-x)^8.

%F a(n)= binomial(n+6, 6)*(n+21)/7 = 3*b(n)-2*b(n-1), with b(n):=binomial(n+7, 7); cf. A000580.

%Y Seventh column: A095662. Ninth column: A095664.

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Jun 11 2004

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Last modified June 21 19:59 EDT 2021. Contains 345365 sequences. (Running on oeis4.)