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A289433 Numbers c_n of Fibonacci-quilt legal decompositions of n. 0
1, 1, 1, 2, 2, 3, 4, 6, 9, 12, 17, 23, 32, 45, 63, 89, 124, 173, 241, 336, 470, 657, 919, 1284, 1793, 2504, 3497, 4886, 6827, 9539, 13327, 18617, 26007, 36331, 50756, 70910, 99066, 138400, 193348, 270111, 377352, 527174, 736484, 1028898, 1437409, 2008109, 2805394 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..47.

Minerva Catral, P. L. Ford, P. E. Harris, S. J. Miller, et al., Legal Decompositions Arising from Non-positive Linear Recurrences, arXiv preprint arXiv:1606.09312 [math.CO], 2016.

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

FORMULA

Catral et al. give a linear recurrence.

G.f.: -(1+x)*(x^2-x+1)/(-1+x+x^5+x^7) . - R. J. Mathar, Aug 07 2017

MATHEMATICA

LinearRecurrence[{1, 0, 0, 0, 1, 0, 1}, {1, 1, 1, 2, 2, 3, 4}, 50] (* Jean-François Alcover, Sep 14 2018 *)

CROSSREFS

Sequence in context: A186964 A005856 A157876 * A212264 A174650 A107293

Adjacent sequences:  A289430 A289431 A289432 * A289434 A289435 A289436

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 06 2017

STATUS

approved

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Last modified July 15 20:24 EDT 2019. Contains 325056 sequences. (Running on oeis4.)