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A127016
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Expansion of 1/(1+7*x*c(x)), c(x) the g.f. of Catalan numbers A000108.
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5
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1, -7, 42, -259, 1582, -9702, 59388, -363867, 2228310, -13649650, 83599852, -512063790, 3136339276, -19210260076, 117662192928, -720683271819, 4414176556902, -27036862348986, 165600668448348, -1014304512179994, 6212613590747172, -38052263986931796
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Hankel transform is (-7)^n.
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FORMULA
| a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-8)^k.
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MAPLE
| c:=(1-sqrt(1-4*x))/2/x: ser:=series(1/(1+7*x*c), x=0, 25): seq(coeff(ser, x, n), n=0..22); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 27 2007
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CROSSREFS
| Sequence in context: A003949 A033133 A082035 * A152239 A152240 A187246
Adjacent sequences: A127013 A127014 A127015 * A127017 A127018 A127019
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KEYWORD
| sign
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 21 2007
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 27 2007
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