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A159348 Transform of the finite sequence (1, 0, -1, 0, 1) by the T_{0,0} transform (see link). 2
1, 1, 1, 4, 11, 24, 55, 128, 298, 693, 1611, 3745, 8706, 20239, 47050, 109378, 254273, 591113, 1374171, 3194560, 7426451, 17264404, 40134870, 93302253, 216901423, 504234633, 1172203306, 2725042075, 6334954246, 14726981894, 34236079265 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..30.

Richard Choulet, Curtz-like transformation.

Index entries for linear recurrences with constant coefficients, signature (3, -2, 1).

FORMULA

O.g.f.: f(z) = ((1-z)^2/(1-3*z+2*z^2-z^3))*(1-z^2+z^4).

EXAMPLE

a(n) = 3*a(n-1) - 2*a(n-2) + a(n-3) for n>=7, with a(0)=1, a(1)=1, a(2)=1, a(3)=4, a(4)=11, a(5)=24, a(6)=55.

MAPLE

a(0):=1: a(1):=1:a(2):=1: a(3):=4:a(4):=11:a(5):=24:a(6):=55:for n from 4 to 31 do a(n+3):=3*a(n+2)-2*a(n+1)+a(n):od:seq(a(i), i=0..31);

MATHEMATICA

Join[{1, 1, 1, 4}, LinearRecurrence[{3, -2, 1}, {11, 24, 55}, 40]] (* or *) CoefficientList[Series[(-1+2 x-2 x^3+2 x^5-x^6)/(-1+3 x-2 x^2+x^3), {x, 0, 45}], x](* Harvey P. Dale, Oct 04 2011 *)

CROSSREFS

Cf. A137531, A159347.

Sequence in context: A258472 A007678 A159350 * A159349 A192597 A181946

Adjacent sequences:  A159345 A159346 A159347 * A159349 A159350 A159351

KEYWORD

nonn

AUTHOR

Richard Choulet, Apr 11 2009

STATUS

approved

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Last modified February 21 04:22 EST 2018. Contains 299389 sequences. (Running on oeis4.)