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A064059 Seventh column of Catalan triangle A009766. +0
5
132, 429, 1001, 2002, 3640, 6188, 9996, 15504, 23256, 33915, 48279, 67298, 92092, 123970, 164450, 215280, 278460, 356265, 451269, 566370, 704816, 870232, 1066648, 1298528, 1570800, 1888887, 2258739, 2686866, 3180372, 3746990, 4395118 (list; graph; listen)
OFFSET

0,1

LINKS

R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, J. Integer Seqs., Vol. 3 (2000), #00.1.6

FORMULA

G.f.: (132-495*x+770*x^2-616*x^3+252*x^4-42*x^5)/(1-x)^7; numerator polynomial is N(2;5, x) from A062991.

a(n) = A009766(n+6, 6) = (n+1)*binomial(n+12,5)/6.

binomial(n+1,6)-2*binomial(n,5),n>=12. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 19 2006

MAPLE

[seq(binomial(n+1, 6)-2*binomial(n, 5), n=12..55)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 19 2006

CROSSREFS

A000096, A005586, A005587, A005557 (third to sixth column).

Sequence in context: A116869 A035141 A116154 this_sequence A115132 A090199 A033278

Adjacent sequences: A064056 A064057 A064058 this_sequence A064060 A064061 A064062

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Sep 13 2001

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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