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Search: id:A116871
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| 42, 174, 645, 2333, 8398, 30275, 109550, 398180, 1453908, 5332407, 19639521, 72616727, 269473750, 1003347975, 3747412770, 14036374680, 52714429260, 198459284400, 748867149234, 2831788492218, 10729442739596
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Also sixth diagonal sequence of triangle A028364.
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FORMULA
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a(n)= A067323(n+5,5), n>=0.
a(n)= A028364(5+n,n) = sum(C(k)*C(5+n-k),k=0..n), n>=0, with the Catalan numbers C(n):=A000108(n).
G.f.: (c(x)^3)sum(C(4, k)*c(x)^k, k=0..4), with C(n, m) := (m+1)*binomial(2*n-m, n-m)/(n+1) (Catalan convolutions A033184).
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CROSSREFS
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Cf. A067326 (fifth column of A067323).
Sequence in context: A010022 A134385 A115130 this_sequence A158484 A154047 A090198
Adjacent sequences: A116868 A116869 A116870 this_sequence A116872 A116873 A116874
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 24 2006
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