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Search: id:A116870
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A116870 Seventh column of triangle A028364. +0
1
429, 1001, 3003, 9646, 32123, 109550, 380162, 1337220, 4755402, 17065365, 61714147, 224661206, 822574599, 3027096930, 11190101910, 41532876060, 154712622870, 578210935770, 2167431271614, 8146882131276 (list; graph; listen)
OFFSET

0,1

COMMENT

Also seventh diagonal of triangle A067323.

FORMULA

a(n)= A028364(n+6,6) = sum(C(k)*C(n+6-k),k=0..6), with the Catalan numbers C(n):=A000108(n).

G.f.: (c6(x)*c(x)-(c6(x)-1)/x)/x^6, with c6(x) := sum(C(k)*x^k, k=0..6) and c(x) is the g.f. for the Catalan numbers A000108.

CROSSREFS

Cf. A116869 (sixth column).

Sequence in context: A095811 A030467 A034278 this_sequence A064061 A115133 A090200

Adjacent sequences: A116867 A116868 A116869 this_sequence A116871 A116872 A116873

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 24 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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