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A095670 Eighth column (m=7) of (1,4)-Pascal triangle A095666. 0
4, 29, 120, 372, 960, 2178, 4488, 8580, 15444, 26455, 43472, 68952, 106080, 158916, 232560, 333336, 468996, 648945, 884488, 1189100, 1578720, 2072070, 2691000, 3460860, 4410900, 5574699, 6990624, 8702320, 10759232, 13217160, 16138848 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

If Y is a 4-subset of an n-set X then, for n>=10, a(n-10) is the number of 7-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..30.

FORMULA

G.f.: (4-3*x)/(1-x)^8.

a(n) = 4*b(n)-3*b(n-1) =(n+28)*binomial(n+6, 6)/7, with b(n):=binomial(n+7, 7)= A000580(n+7, 7).

CROSSREFS

Sequence in context: A199399 A211545 A295842 * A273074 A247748 A295035

Adjacent sequences:  A095667 A095668 A095669 * A095671 A095672 A095673

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jun 11 2004

STATUS

approved

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Last modified June 13 11:44 EDT 2021. Contains 344992 sequences. (Running on oeis4.)