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A051166 Sequence is defined by property that binomial transform of (a0,a1,a2,a3,...) = (a0,a0,a0,a1,a1,a1,a2,a2,a2,a3,a3,a3,...). 5
1, 0, 0, -1, 3, -6, 10, -15, 21, -29, 45, -90, 224, -609, 1677, -4559, 12135, -31542, 80086, -199035, 485469, -1165105, 2757369, -6446778, 14913052, -34175805, 77672325, -175228740, 392711166, -874901088, 1938704130, -4275110880, 9385473510, -20521355211, 44704157499, -97055415324 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
N. J. A. Sloane, Transforms
MAPLE
a:= proc(n) option remember; add(`if`(k<3, 1,
a(iquo(k, 3)))*(-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<3, 1, a[Quotient[k, 3]]]*(-1)^(n-k)*Binomial[n, k], {k, 0, n}];
Table[a[n], {n, 0, 45}] (* Jean-François Alcover, Apr 04 2017, after Alois P. Heinz *)
CROSSREFS
Sequence in context: A335184 A101551 A227430 * A188278 A188279 A365699
KEYWORD
easy,sign,eigen
AUTHOR
EXTENSIONS
More terms from Vladeta Jovovic, Jul 26 2002
STATUS
approved

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Last modified June 19 09:05 EDT 2024. Contains 373493 sequences. (Running on oeis4.)