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A051164 Sequence is defined by property that (a0,a1,a2,a3,...) = binomial transform of (a0,a0,a0,a1,a1,a1,a2,a2,a2,a3,a3,a3,...). 5
1, 2, 4, 9, 21, 48, 108, 243, 549, 1243, 2819, 6412, 14640, 33549, 77121, 177747, 410565, 949992, 2200978, 5103623, 11839783, 27471189, 63734823, 147831594, 342767586, 794413545, 1840338975, 4261443374, 9863627962, 22822212734, 52789053456, 122073285984 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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<3, 1,

      a(iquo(k, 3)))*binomial(n, k), k=0..n)

    end:

seq(a(n), n=0..40);  # Alois P. Heinz, Jul 08 2015

MATHEMATICA

a[n_] := a[n] = Sum[If[k<3, 1, a[Quotient[k, 3]]]*Binomial[n, k], {k, 0, n}]; Table[a[n], {n, 0, 40}] (* Jean-Fran├žois Alcover, Feb 18 2017, after Alois P. Heinz *)

CROSSREFS

Cf. A051163, A051165, A051166.

Sequence in context: A307548 A084634 A137256 * A182904 A281425 A101891

Adjacent sequences:  A051161 A051162 A051163 * A051165 A051166 A051167

KEYWORD

easy,nonn,eigen

AUTHOR

Jonas Wallgren

EXTENSIONS

More terms from Vladeta Jovovic, Jul 26 2002

STATUS

approved

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Last modified August 8 13:46 EDT 2020. Contains 336298 sequences. (Running on oeis4.)