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Search: id:A096944
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| 5, 31, 112, 308, 714, 1470, 2772, 4884, 8151, 13013, 20020, 29848, 43316, 61404, 85272, 116280, 156009, 206283, 269192, 347116, 442750, 559130, 699660, 868140, 1068795, 1306305, 1585836, 1913072, 2294248, 2736184, 3246320, 3832752
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OFFSET
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0,1
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COMMENT
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If Y is a 5-subset of an n-set X then, for n>=10, a(n-10) is the number of 6-subsets of X having at most one element in common with Y. > - Milan R. Janjic (agnus(AT)blic.net), Dec 08 2007
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FORMULA
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G.f.: (5-4*x)/(1-x)^7.
a(n)= (n+30)*binomial(n+5, 5)/6 = 5*b(n)-4*b(n-1), with b(n):=A000579(n+6)=binomial(n+6, 6).
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CROSSREFS
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Sixth column: A096943; eighth column: A096945.
Sequence in context: A115519 A024399 A099083 this_sequence A053699 A152122 A041303
Adjacent sequences: A096941 A096942 A096943 this_sequence A096945 A096946 A096947
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jul 16 2004
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