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A289432 Numbers b_n of Fibonacci-quilt legal decompositions of n. 0
0, 0, 0, 1, 1, 1, 1, 2, 3, 4, 6, 8, 11, 15, 21, 30, 42, 59, 82, 114, 159, 222, 311, 435, 608, 849, 1185, 1655, 2312, 3231, 4515, 6308, 8812, 12309, 17195, 24022, 33561, 46888, 65505, 91512, 127843, 178599, 249509, 348575, 486975, 680323, 950434, 1327786 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

Table of n, a(n) for n=1..48.

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.: -x^4*(1 + x^4)/(-1 + x + x^5 + x^7). - R. J. Mathar, Aug 07 2017

MATHEMATICA

Join[{0}, LinearRecurrence[{1, 0, 0, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 1, 2}, 47]] (* Jean-Fran├žois Alcover, Jan 07 2019 *)

CROSSREFS

Sequence in context: A064323 A003411 A034081 * A064660 A321359 A321567

Adjacent sequences:  A289429 A289430 A289431 * A289433 A289434 A289435

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 06 2017

STATUS

approved

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Last modified July 11 17:24 EDT 2020. Contains 335626 sequences. (Running on oeis4.)