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A095662 Seventh column (m=6) of (1,3)-Pascal triangle A095660. +0
3
3, 19, 70, 196, 462, 966, 1848, 3300, 5577, 9009, 14014, 21112, 30940, 44268, 62016, 85272, 115311, 153615, 201894, 262108, 336490, 427570, 538200, 671580, 831285, 1021293, 1246014, 1510320, 1819576, 2179672, 2597056, 3078768, 3632475 (list; graph; listen)
OFFSET

0,1

COMMENT

If Y is a 3-subset of an n-set X then, for n>=8, a(n-8) is the number of 6-subsets of X having at most one element in common with Y. - Milan R. Janjic (agnus(AT)blic.net), Nov 23 2007

FORMULA

G.f.: (3-2*x)/(1-x)^7.

a(n)= binomial(n+5, 5)*(n+18)/6 = 3*b(n)-2*b(n-1), with b(n):=binomial(n+6, 6); cf. A000579.

CROSSREFS

Sixth column: A000574. Eighth column: A095663.

Sequence in context: A091968 A064056 A059599 this_sequence A072263 A090698 A027175

Adjacent sequences: A095659 A095660 A095661 this_sequence A095663 A095664 A095665

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jun 11 2004

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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