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A004321 Binomial coefficient C(3n,n-3). +0
2
1, 12, 105, 816, 5985, 42504, 296010, 2035800, 13884156, 94143280, 635745396, 4280561376, 28760021745, 192928249296, 1292706174900, 8654327655120, 57902201338905, 387221678682300, 2588713818544245 (list; graph; listen)
OFFSET

3,2

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

LINKS

Milan Janjic, Two Enumerative Functions

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].

MAPLE

a:=n->sum(binomial(2*n-2, n+j)*binomial(n-1, n-j+1), j=0..n): seq(a(n), n=4..22); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 29 2007

CROSSREFS

Sequence in context: A003431 A094530 A051815 this_sequence A016223 A027142 A090816

Adjacent sequences: A004318 A004319 A004320 this_sequence A004322 A004323 A004324

KEYWORD

nonn,easy

AUTHOR

njas

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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