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Search: id:A127016
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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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+0
6
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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; listen)
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OFFSET
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0,2
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COMMENT
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Hankel transform is (-7)^n.
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FORMULA
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a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-8)^k.
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MAPLE
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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
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Sequence in context: A003949 A033133 A082035 this_sequence A152239 A152240 A073506
Adjacent sequences: A127013 A127014 A127015 this_sequence A127017 A127018 A127019
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KEYWORD
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sign
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 21 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 27 2007
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