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Search: id:A132866
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| A132866 |
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Expansion of 1/(1-6x*c(7x)), where c(x) is the g.f. of A000108 . |
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+0 3
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| 1, 6, 78, 1308, 24942, 513876, 11148012, 250917624, 5805563310, 137233668900, 3299955883428, 80468668049160, 1985171406618156, 49458290358431688, 1242613072013591832, 31448339835422435568
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OFFSET
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0,2
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FORMULA
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G.f.=7/[4+3sqrt(1-28x)]. a(n)=7^n*sum((6/7)^j*j*binom(2n-j,n)/(2n-j), j=0..n) for n>=1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 19 2007
a(n)=Sum_{k, 0<=k<=n}A039599(n,k)*(-1)^k*7^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 11 2007
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MAPLE
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g:=7/(4+3*sqrt(1-28*x)): gser:=series(g, x=0, 18): seq(coeff(gser, x, n), n=0..15); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 19 2007
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CROSSREFS
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Adjacent sequences: A132863 A132864 A132865 this_sequence A132867 A132868 A132869
Sequence in context: A069670 A074112 A131926 this_sequence A094419 A049209 A053771
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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), Nov 18 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 19 2007
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