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 A138461 Inverse binomial transform of A000957. 1
 0, 1, -2, 4, -6, 11, -14, 29, -26, 85, -12, 320, 312, 1639, 3190, 10484, 25822, 75005, 200488, 564662, 1555804, 4363139, 12184456, 34267931, 96435100, 272390561, 770734846, 2186278294, 6213111234 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS N. J. A. Sloane, Transforms FORMULA From Vaclav Kotesovec, Oct 30 2017: (Start) Recurrence: 2*n*a(n) = -(n+6)*a(n-1) + (13*n - 33)*a(n-2) + 3*(7*n - 18)*a(n-3) + 9*(n-3)*a(n-4). a(n) ~ 3^(n - 1/2) / (8 * sqrt(Pi) * n^(3/2)). (End) MATHEMATICA Table[Sum[(-1)^(n-k) * Binomial[n, k]*(2^k * (2*k-1)!! * Hypergeometric2F1Regularized[2, 2*k+1, k+2, -1] - 3*(-1)^k/2^(k+1)), {k, 1, n}], {n, 0, 30}] (* Vaclav Kotesovec, Oct 30 2017 *) CROSSREFS Cf. A000957, A138415. Sequence in context: A156913 A238483 A238487 * A173397 A187492 A103580 Adjacent sequences:  A138458 A138459 A138460 * A138462 A138463 A138464 KEYWORD sign AUTHOR N. J. A. Sloane, May 08 2008 STATUS approved

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Last modified March 18 16:30 EDT 2019. Contains 321292 sequences. (Running on oeis4.)