A289432 Numbers b_n of Fibonacci-quilt legal decompositions of n.

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

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.

Minerva Catral, Pari L. Ford, Pamela E. Harris, Steven J. Miller, and Dawn Nelson, Legal Decompositions Arising From Non-Positive Linear Recurrences, Fibonacci Quart. 54 (2016), no. 4, 348-365. See Table 1. p. 358.

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-François Alcover, Jan 07 2019 *)

Crossrefs

Cf. A000931, A289433.

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