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A159287 Expansion of x^2/(1-x^2-2*x^3) 7
0, 0, 1, 0, 1, 2, 1, 4, 5, 6, 13, 16, 25, 42, 57, 92, 141, 206, 325, 488, 737, 1138, 1713, 2612, 3989, 6038, 9213, 14016, 21289, 32442, 49321, 75020, 114205, 173662, 264245, 402072, 611569, 930562, 1415713, 2153700, 3276837, 4985126, 7584237, 11538800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

A floretion-generated sequence: 'i + 0.5('ij' + 'ik' + 'ji' + 'jk' + 'ki' + 'kj')

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Creighton Dement, Online Floretion Multiplier

Index entries for linear recurrences with constant coefficients, signature (0,1,2).

FORMULA

a(n) = A052947(n-2). - R. J. Mathar, Nov 10 2009

MATHEMATICA

LinearRecurrence[{0, 1, 2}, {0, 0, 1}, 60] (* Vladimir Joseph Stephan Orlovsky, May 24 2011 *)

PROG

(PARI) a(n)=([0, 1, 0; 0, 0, 1; 2, 1, 0]^n*[0; 0; 1])[1, 1] \\ Charles R Greathouse IV, Oct 03 2016

(MAGMA) I:=[0, 0, 1]; [n le 3 select I[n] else Self(n-2) + 2*Self(n-3): n in [1..30]]; // G. C. Greubel, Jun 27 2018

CROSSREFS

Cf. A159284, A159285, A159286, A159288.

Sequence in context: A261608 A110332 A052947 * A252448 A021992 A292388

Adjacent sequences:  A159284 A159285 A159286 * A159288 A159289 A159290

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Apr 08 2009

STATUS

approved

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Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)