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Search: id:A157328
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| A157328 |
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Expansion of 1/(1-2x*c(4x)) with c(x) g.f. of Catalan numbers A000108. |
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1
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| 1, 2, 12, 104, 1072, 12192, 147648, 1867392, 24380160, 326105600, 4445965312, 61555599360, 863154221056, 12233140576256, 174954419109888, 36464471723671552, 534249057803698176, 7840624014741209088
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Hankel transform is A122067.
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FORMULA
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a(n)=2^n*A064062(n).
Contribution from Paul Barry (pbarry(AT)wit.ie), Sep 15 2009: (Start)
a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-2)^k*4^(n-k).
Integral representation: a(n)=(1/(2*pi))*Int(x^n*sqrt(x(16-x))/(x(2+x)),x,0,16). (End)
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CROSSREFS
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Cf. A000079, A000984, A151374, A110520,
Sequence in context: A052693 A050621 A152254 this_sequence A061632 A104533 A125031
Adjacent sequences: A157325 A157326 A157327 this_sequence A157329 A157330 A157331
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 27 2009
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