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A096941 Fourth column of (1,5)-Pascal triangle A096940. 4
5, 16, 34, 60, 95, 140, 196, 264, 345, 440, 550, 676, 819, 980, 1160, 1360, 1581, 1824, 2090, 2380, 2695, 3036, 3404, 3800, 4225, 4680, 5166, 5684, 6235, 6820, 7440, 8096, 8789, 9520, 10290, 11100, 11951, 12844, 13780, 14760, 15785, 16856, 17974, 19140 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

If Y is a 5-subset of an n-set X then, for n>=7, a(n-7) is the number of 3-subsets of X having at most one element in common with Y. - Milan Janjic, Dec 08 2007

LINKS

Table of n, a(n) for n=0..43.

FORMULA

a(n)= (n+15)*(n+2)*(n+1)/6 = 5*b(n)-4*b(n-1), with b(n):=A000292(n)=binomial(n+3, 3).

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

MATHEMATICA

Table[(n^3 + 15 n^2 + 14 n)/6, {n, 100}] (* Vladimir Joseph Stephan Orlovsky, Jul 06 2011 *)

CROSSREFS

Third column: A056000; fifth column: A096942.

Sequence in context: A172166 A131425 A227720 * A246697 A098404 A190970

Adjacent sequences:  A096938 A096939 A096940 * A096942 A096943 A096944

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jul 16 2004

STATUS

approved

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Last modified August 1 10:33 EDT 2021. Contains 346385 sequences. (Running on oeis4.)