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A162480
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Expansion of 1/((1-x)^2*sqrt(1-4x/(1-x)^4)).
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1
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1, 4, 21, 126, 797, 5190, 34439, 231556, 1572135, 10754148, 74001735, 511686726, 3552251429, 24743806370, 172853699427, 1210514603212, 8495774193707, 59739915525288, 420785972800187, 2968344133842182, 20967995689677183
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Partial sums of A162479.
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FORMULA
| G.f.: 1/((1-x)^2-2x/((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)*A000984(k)}.
Conjecture: n*a(n) +4*(1-2n)*a(n-1) +6*(n-1)*a(n-2) +2*(3-2n)*a(n-3) +(n-2)*a(n-4)=0. - R. J. Mathar, Nov 17 2011
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CROSSREFS
| Sequence in context: A153291 A093965 A195262 * A003168 A185047 A032326
Adjacent sequences: A162477 A162478 A162479 * A162481 A162482 A162483
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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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