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A164411 Number of binary strings of length n with no substrings equal to 0000, 0001, or 0110. 1
1, 2, 4, 8, 13, 22, 37, 63, 108, 184, 314, 535, 912, 1555, 2651, 4520, 7706, 13138, 22399, 38188, 65107, 111001, 189246, 322646, 550080, 937833, 1598914, 2725993, 4647553, 7923626, 13509012, 23031552, 39266557, 66945662, 114135845, 194590519 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000 (terms 4..500 from R. H. Hardin)

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

FORMULA

G.f.: (1 + x + x^2 + 2*x^3 + x^4)/(1 - x - x^2 - x^5). - R. J. Mathar, Nov 30 2011

MATHEMATICA

LinearRecurrence[{1, 1, 0, 0, 1}, {1, 2, 4, 8, 13}, 50] (* G. C. Greubel, Sep 19 2017 *)

CoefficientList[Series[(1 + x + x^2 + 2*x^3 + x^4)/(1 - x - x^2 - x^5), {x, 0, 50}], x] (* G. C. Greubel, Sep 21 2017 *)

PROG

(PARI) x='x+O('x^50); Vec((1 + x + x^2 + 2*x^3 + x^4)/(1 - x - x^2 - x^5)) \\ G. C. Greubel, Sep 21 2017

CROSSREFS

Sequence in context: A244985 A023600 A164428 * A074467 A018066 A233274

Adjacent sequences:  A164408 A164409 A164410 * A164412 A164413 A164414

KEYWORD

nonn,changed

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved

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Last modified September 25 01:22 EDT 2017. Contains 292441 sequences.