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A110556
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Binomial(2*n-1,n)*(-1)^n for n>0; a(0) = 1.
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4
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1, -1, 3, -10, 35, -126, 462, -1716, 6435, -24310, 92378, -352716, 1352078, -5200300, 20058300, -77558760, 300540195, -1166803110, 4537567650, -17672631900, 68923264410, -269128937220, 1052049481860, -4116715363800, 16123801841550
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OFFSET
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0,3
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COMMENTS
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a(n) = A110555(2*n,n), central terms in triangle A110555;
a(n) = A088218(n)*(-1)^n.
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LINKS
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Table of n, a(n) for n=0..24.
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FORMULA
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E.g.f.: E(x) = 1 - x/(G(0)+2*x) ; G(k) = (k+1)^2 - 2*x*(2*k+1) + 2*x*(2*k+3)*((k+1)^2)/G(k+1) ; (continued fraction). - Sergei N. Gladkovskii, Dec 21 2011
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MATHEMATICA
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Table[Binomial[2n-1, n](-1)^n, {n, 0, 30}] (* From Harvey P. Dale, Apr 01 2012 *)
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CROSSREFS
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Another version of A001700, which is the main entry. Cf. A000984, A007318.
Sequence in context: A167403 A001700 A088218 * A072266 A085282 A149036
Adjacent sequences: A110553 A110554 A110555 * A110557 A110558 A110559
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KEYWORD
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sign
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AUTHOR
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Reinhard Zumkeller, Jul 27 2005
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STATUS
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approved
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