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A096947
Tenth column of (1,5)-Pascal triangle A096940.
1
5, 46, 235, 880, 2695, 7150, 17017, 37180, 75790, 145860, 267410, 470288, 797810, 1311380, 2096270, 3268760, 4984859, 7450850, 10935925, 15787200, 22447425, 31475730, 43571775, 59603700, 80640300, 107987880, 143232276, 188286560
OFFSET
0,1
COMMENTS
If Y is a 5-subset of an n-set X then, for n>=13, a(n-13) is the number of 9-subsets of X having at most one element in common with Y. - Milan Janjic, Dec 08 2007
LINKS
FORMULA
a(n) = (n+45)*binomial(n+8, 8)/9.
a(n) = 5*b(n)-4*b(n-1), with b(n) = A000582(n+9) = binomial(n+9, 9).
G.f.: (5-4*x)/(1-x)^10.
MATHEMATICA
CoefficientList[Series[(5-4x)/(1-x)^10, {x, 0, 40}], x] (* Harvey P. Dale, Jan 06 2020 *)
CROSSREFS
Ninth column: A096946.
Sequence in context: A348786 A318550 A318212 * A042533 A355056 A309185
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Jul 16 2004
STATUS
approved