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Search: id:A096943
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A096943 Sixth column of (1,5)-Pascal triangle A096940. +0
3
5, 26, 81, 196, 406, 756, 1302, 2112, 3267, 4862, 7007, 9828, 13468, 18088, 23868, 31008, 39729, 50274, 62909, 77924, 95634, 116380, 140530, 168480, 200655, 237510, 279531, 327236, 381176, 441936, 510136, 586432, 671517, 766122, 871017, 987012 (list; graph; listen)
OFFSET

0,1

COMMENT

If Y is a 5-subset of an n-set X then, for n>=9, a(n-9) is the number of 5-subsets of X having at most one element in common with Y. - Milan R. Janjic (agnus(AT)blic.net), Dec 08 2007

FORMULA

G.f.: (5-4*x)/(1-x)^6.

a(n)= (n+25)*binomial(n+4, 4)/5 = 5*b(n)-4*b(n-1), with b(n):= A000389(n+5)=binomial(n+5, 5).

CROSSREFS

Fifth column: A096942; seventh column: A096944.

Sequence in context: A048395 A081886 A081530 this_sequence A079909 A047669 A002316

Adjacent sequences: A096940 A096941 A096942 this_sequence A096944 A096945 A096946

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jul 16 2004

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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