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 A152226 Binomial transform of A027826. 1
 1, 2, 5, 14, 42, 132, 428, 1416, 4745, 16034, 54505, 186166, 638538, 2198692, 7598624, 26350944, 91670946, 319825796, 1118686730, 3921801820, 13775938132, 48473233032, 170815501576, 602710956464, 2128981351316, 7527515059432, 26637591204996, 94331697697688 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 FORMULA A007318 * A027826 as a vector. A027826 = [1, 1, 2, 4, 9, 21, 50, 120, 290,...]. EXAMPLE a(3) = 14 = (1, 1, 2, 4) dot (1, 3, 3, 1) = (1 + 3 + 6 + 4). MAPLE b:= proc(n) option remember; add(`if`(k=0, 1,       `if`(k::odd, 0, b(k/2)))*binomial(n, k), k=0..n)     end: a:= n-> add(b(k)*binomial(n, k), k=0..n): seq(a(n), n=0..40);  # Alois P. Heinz, Jul 08 2015 MATHEMATICA b[n_] := b[n] = Sum[If[k == 0, 1, If[OddQ[k], 0, b[k/2]]]*Binomial[n, k], {k, 0, n}]; a[n_] := Sum[b[k]*Binomial[n, k], {k, 0, n}]; Table[a[n], {n, 0, 40}] (* Jean-François Alcover, Jun 04 2018, from Maple *) CROSSREFS Cf. A027826. Sequence in context: A148329 A293499 A024175 * A054393 A261589 A036768 Adjacent sequences:  A152223 A152224 A152225 * A152227 A152228 A152229 KEYWORD nonn AUTHOR Gary W. Adamson, Nov 29 2008 EXTENSIONS A-Number corrected by R. J. Mathar, Apr 04 2012 STATUS approved

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Last modified February 20 08:44 EST 2019. Contains 320325 sequences. (Running on oeis4.)