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A064061 Eighth column of Catalan triangle A009766. +0
4
429, 1430, 3432, 7072, 13260, 23256, 38760, 62016, 95931, 144210, 211508, 303600, 427570, 592020, 807300, 1085760, 1442025, 1893294, 2459664, 3164480, 4034712, 5101360, 6399888, 7970688, 9859575 (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

a(n)= A009766(n+7, 7)= (n+1)*binomial(n+14, 6)/7.

G.f.: (429-2002*x+4004*x^2-4368*x^3+2730* x^4-924*x^5+132*x^6)/(1-x)^8; numerator polynomial is N(2;6, x) from A062991.

a(n)=C(n,7)-C(n,5),n>=13 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2006

MAPLE

[seq(binomial(n, 7)-binomial(n, 5), n=13..37)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2006

CROSSREFS

A064059 (seventh column).

Sequence in context: A030467 A034278 A116870 this_sequence A115133 A090200 A033279

Adjacent sequences: A064058 A064059 A064060 this_sequence A064062 A064063 A064064

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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