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 A110556 Binomial(2*n-1,n)*(-1)^n for n>0; a(0) = 1. 4
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n) = A110555(2*n,n), central terms in triangle A110555; a(n) = A088218(n)*(-1)^n. LINKS FORMULA 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 MATHEMATICA Table[Binomial[2n-1, n](-1)^n, {n, 0, 30}] (* From Harvey P. Dale, Apr 01 2012 *) CROSSREFS 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 KEYWORD sign AUTHOR Reinhard Zumkeller, Jul 27 2005 STATUS approved

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