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A144413 a(n) = Sum_{m=0..n} (-1)^m * binomial(n, m) * A000931(n - m). 0
0, 1, -1, 1, 0, -3, 10, -24, 49, -89, 145, -208, 245, -174, -176, 1121, -3185, 7137, -13920, 24301, -37926, 51256, -53615, 20407, 97265, -386224, 984549, -2083934, 3896480, -6537023, 9734175 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

LINKS

Table of n, a(n) for n=1..31.

Eric Weisstein's World of Mathematics, Euler Transform

FORMULA

From R. J. Mathar, Jan 21 2009: (Start)

a(n) = -3*a(n-1) - 2*a(n-2) + a(n-3).

G.f.: x(1+2x)/(1+3x+2x^2-x^3). (End)

MATHEMATICA

b[0] = 0; b[1] = 1; b[2] = 1;

b[n_] := b[n] = b[n - 2] + b[n - 3];

a[n_] := Sum[(-1)^m*Binomial[n, m]*b[n - m], {m, 0, n}];

Table[a[n], {n, 0, 30}]

CROSSREFS

Cf. A000931, A000073, A073358.

Sequence in context: A259443 A293405 A029880 * A033811 A062446 A053208

Adjacent sequences:  A144410 A144411 A144412 * A144414 A144415 A144416

KEYWORD

sign

AUTHOR

Roger L. Bagula and Gary W. Adamson, Sep 30 2008

STATUS

approved

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Last modified July 2 02:22 EDT 2020. Contains 335389 sequences. (Running on oeis4.)