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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,...).
6
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
OFFSET
0,2
LINKS
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-François Alcover, Feb 18 2017, after Alois P. Heinz *)
CROSSREFS
KEYWORD
easy,nonn,eigen
EXTENSIONS
More terms from Vladeta Jovovic, Jul 26 2002
STATUS
approved