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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-Fran├žois 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.)