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A096944
Seventh column of (1,5)-Pascal triangle A096940.
2
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
OFFSET
0,1
COMMENTS
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 Janjic, Dec 08 2007
FORMULA
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).
CROSSREFS
Sixth column: A096943; eighth column: A096945.
Sequence in context: A183520 A099083 A212523 * A053699 A152122 A260045
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Jul 16 2004
STATUS
approved