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A008500 6-dimensional centered tetrahedral numbers. +0
2
1, 8, 36, 120, 330, 792, 1716, 3431, 6427, 11404, 19328, 31494, 49596, 75804, 112848, 164109, 233717, 326656, 448876, 607412, 810510, 1067760, 1390236, 1790643, 2283471, 2885156, 3614248, 4491586, 5540480, 6786900, 8259672 (list; graph; listen)
OFFSET

0,2

COMMENT

If X is an n-set and Y a fixed 7-subset of X then a(n-7) is equal to the number of 7-subsets of X intersecting Y. - Milan R. Janjic (agnus(AT)blic.net), Jul 30 2007

LINKS

Index entries for two-way infinite sequences

Milan Janjic, Two Enumerative Functions

FORMULA

Expansion of (1-x^7)/(1-x)^8.

G.f.: (1-x^7)/(1-x)^8. a(-1-n)=a(n).

PROGRAM

(PARI) a(n)=binomial(n+7, 7)-binomial(n, 7)

CROSSREFS

Sequence in context: A092365 A014343 A051192 this_sequence A008490 A023033 A000580

Adjacent sequences: A008497 A008498 A008499 this_sequence A008501 A008502 A008503

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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