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 A051165 Sequence is defined by property that binomial transform of (a0,a1,a2,a3,...) = (a0,a0,a1,a1,a2,a2,a3,a3,...). 4
 1, 0, -1, 2, -4, 8, -12, 8, 15, -56, 81, -26, -130, 208, 306, -2060, 4796, -5120, -6140, 43320, -113768, 182720, -111768, -395696, 1725172, -3922016, 5614348, -2289912, -14957416, 56700032, -121684568, 164735504, -47657969, -491084768, 1740799985, -3598600386, 4619098604 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 N. J. A. Sloane, Transforms MAPLE a:= proc(n) option remember; add(`if`(k<2, 1,       a(iquo(k, 2)))*(-1)^(n-k)*binomial(n, k), k=0..n)     end: seq(a(n), n=0..45);  # Alois P. Heinz, Jul 08 2015 MATHEMATICA a[n_] := a[n] = Sum[If[k<2, 1, a[Quotient[k, 2]]]*(-1)^(n-k)*Binomial[n, k], {k, 0, n}]; Table[a[n], {n, 0, 45}] (* Jean-François Alcover, Jun 04 2018, from Maple *) CROSSREFS Cf. A051163, A051164, A051166. Sequence in context: A246703 A079389 A324991 * A009664 A009507 A064657 Adjacent sequences:  A051162 A051163 A051164 * A051166 A051167 A051168 KEYWORD easy,sign,eigen AUTHOR EXTENSIONS More terms from Vladeta Jovovic, Jul 26 2002 STATUS approved

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Last modified September 27 00:14 EDT 2020. Contains 337378 sequences. (Running on oeis4.)