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A162481
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Expansion of (1/(1-x)^3)*c(x/(1-x)^3), c(x) the g.f. of A000108.
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1
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1, 4, 14, 54, 235, 1119, 5658, 29800, 161621, 896198, 5056824, 28938519, 167548937, 979653821, 5776252440, 34305807512, 205039491091, 1232333298174, 7443336041318, 45157243590384, 275051410542141, 1681362181696823
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: 1/((1-x)^3-x-x^2/((1-x)^3-2x-x^2/((1-x)^3-2x-x^2/((1-x)^3-2x-x^2/(1-... (continued fraction);
a(n)=sum{k=0..n, C(n+2k+2,n-k)*A000108}.
Conjecture: (n+1)*a(n) +2*(1-4n)*a(n-1) +2*(5n-3)*a(n-2) +4*(2-n)*a(n-3) +(n-3)*a(n-4)=0. - R. J. Mathar, Dec 11 2011
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CROSSREFS
| Cf. A162482.
Sequence in context: A060898 A180142 A045501 * A088655 A149490 A143406
Adjacent sequences: A162478 A162479 A162480 * A162482 A162483 A162484
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 04 2009
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