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A095663 Eighth column (m=7) of (1,3)-Pascal triangle A095660. 4
3, 22, 92, 288, 750, 1716, 3564, 6864, 12441, 21450, 35464, 56576, 87516, 131784, 193800, 279072, 394383, 547998, 749892, 1012000, 1348490, 1776060, 2314260, 2985840, 3817125, 4838418, 6084432, 7594752, 9414328, 11594000, 14191056 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..30.

FORMULA

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

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.

CROSSREFS

Seventh column: A095662. Ninth column: A095664.

Sequence in context: A277228 A302272 A302723 * A254332 A009029 A009032

Adjacent sequences:  A095660 A095661 A095662 * A095664 A095665 A095666

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jun 11 2004

STATUS

approved

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Last modified May 13 05:02 EDT 2021. Contains 343836 sequences. (Running on oeis4.)