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A162478
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Expansion of 1/sqrt(1-4x/(1-x)^4).
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1
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1, 2, 14, 88, 566, 3722, 24856, 167868, 1143462, 7841434, 54065574, 374437404, 2602879712, 18150990238, 126918338116, 889551010728, 6247598686710, 43958881741086, 309801915943318, 2186512103767096, 15452093394793006
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Partial sums are A162479.
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FORMULA
| G.f.: 1/(1-2x/((1-x)^4-x/(1-x/((1-x)^4-x/(1-... (continued fraction);
a(n)=sum{k=0..n, C(n+3k-1,n-k)*A000984(k)}.
Conjecture: n*a(n) +(7-9n)*a(n-1) +2*(7n-17)*a(n-2) +10*(3-n)*a(n-3) +5*(n-4)*a(n-4) +(5-n)*a(n-5)=0. - R. J. Mathar, Nov 17 2011
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CROSSREFS
| Sequence in context: A037563 A005610 A065355 * A189392 A065892 A139183
Adjacent sequences: A162475 A162476 A162477 * A162479 A162480 A162481
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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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