A122886 Interlaced merger of A122883, A122884 and A122885.

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

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