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Search: id:A127017
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| A127017 |
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Expansion of 1/(1+6*x*c(x)), where c(x) = g.f. for Catalan numbers A000108. |
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+0
5
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| 1, -6, 30, -156, 798, -4116, 21132, -108792, 559134, -2876772, 14790660, -76080648, 391221516, -2012174664, 10347690072, -53218984176, 273689323038, -1407575396484, 7238848057812, -37228770844776, 191460735261828, -984660836306904, 5063949044206632, -26043244926688656
(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 (-6)^n.
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FORMULA
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a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-7)^k.
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MAPLE
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c:=(1-sqrt(1-4*x))/2/x: ser:=series(1/(1+6*x*c), x=0, 27): seq(coeff(ser, x, n), n=0..23); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 23 2007
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CROSSREFS
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Sequence in context: A022023 A066534 A126474 this_sequence A026112 A038155 A026331
Adjacent sequences: A127014 A127015 A127016 this_sequence A127018 A127019 A127020
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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 23 2007
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