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A162477
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Expansion of (1/(1-x)^2)*c(x/(1-x)^4), c(x) the g.f. of A000108.
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1
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1, 3, 11, 50, 255, 1391, 7939, 46821, 283081, 1745212, 10929625, 69338213, 444668749, 2877994064, 18774736487, 123321704739, 814930698217, 5413955476648, 36138368789601, 242252716083298, 1630170332414433
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Partial sums of A162476.
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FORMULA
| G.f.: 1/((1-x)^2-x/((1-x)^2-x/((1-x)^2-x/((1-x)^2-... (continued fraction);
a(n)=a(n)=sum{k=0..n, C(n+3k+1,n-k)*A000108(k)}.
Conjecture: (n+1)*a(n) +4*(1-2n)*a(n-1) +6*(n-2)*a(n-2) +2*(7-2n)*a(n-3) +(n-5)*a(n-4)=0. - R. J. Mathar, Nov 17 2011
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CROSSREFS
| Sequence in context: A203163 A024333 A024334 * A115081 A103466 A203166
Adjacent sequences: A162474 A162475 A162476 * A162478 A162479 A162480
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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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