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A164478 Number of binary strings of length n with no substrings equal to 0001 0110 or 1010 1
13, 20, 31, 49, 78, 123, 193, 303, 476, 748, 1175, 1845, 2897, 4549, 7143, 11216, 17611, 27652, 43418, 68173, 107042, 168072, 263898, 414359, 650605, 1021546, 1603978, 2518482, 3954388, 6208972, 9749001, 15307368, 24034823, 37738213, 59254554 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

R. H. Hardin, Table of n, a(n) for n=4..500

Index entries for linear recurrences with constant coefficients, signature (2,-1,1,-1,1,-1).

FORMULA

G.f. -x^4*(-13+6*x-4*x^2+6*x^3-4*x^4+8*x^5) / ( (x-1)*(x^5+x^3+x-1) ). - R. J. Mathar, Jan 19 2011

MATHEMATICA

LinearRecurrence[{2, -1, 1, -1, 1, -1}, {13, 20, 31, 49, 78, 123}, 40] (* Harvey P. Dale, Sep 22 2020 *)

CROSSREFS

Sequence in context: A164484 A164502 A164474 * A164463 A164470 A164469

Adjacent sequences:  A164475 A164476 A164477 * A164479 A164480 A164481

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified April 21 06:10 EDT 2021. Contains 343146 sequences. (Running on oeis4.)