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A122886 Interlaced merger of A122883, A122884 and A122885. 3
0, 0, 1, 1, 1, 1, 3, 7, 13, 23, 39, 61, 123, 231, 385, 739, 1339, 2185, 4263, 7819, 12853, 24935, 45543, 74677, 145155, 265503, 435721, 846379, 1547347, 2538625, 4932351, 9018835, 14798077, 28749263, 52565151, 86245741 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Table of n, a(n) for n=0..35.

FORMULA

a(3n) = A122883(n). a(3n+1)= A122884(n). a(3n+2) = A122885(n).

a(n)=4*a(n-3)+11*a(n-6)-2*a(n-9). G.f.: x^2*(1-x)*(2*x^5-x^4+3*x^2+2*x+1)/ ((2*x^3+1)*(1-6*x^3+x^6)). [From R. J. Mathar, Aug 12 2009]

EXAMPLE

The last row of the matrix M^0 defined in the base sequences is 0,0,1, which starts the sequence with 0, 0, 1. The last row of M^1 is [1,1,1] which adds 1, 1, 1, that is a(3) to a(5), to the sequence.

CROSSREFS

Cf. A122883, A122884, A122885.

Sequence in context: A212146 A136851 A155339 * A154691 A306902 A227121

Adjacent sequences:  A122883 A122884 A122885 * A122887 A122888 A122889

KEYWORD

nonn,easy

AUTHOR

Gary W. Adamson and Roger L. Bagula, Sep 17 2006

EXTENSIONS

Definition replaced by a more precise phrase by the Assoc. Editors of the OEIS, Mar 12 2010.

STATUS

approved

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Last modified January 25 07:39 EST 2020. Contains 331241 sequences. (Running on oeis4.)