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A164498 Number of binary strings of length n with no substrings equal to 0010 0110 or 1100 1
13, 21, 33, 53, 84, 135, 217, 352, 570, 925, 1498, 2427, 3927, 6355, 10279, 16630, 26902, 43527, 70424, 113952, 184379, 298341, 482729, 781082, 1263815, 2044899, 3308703, 5353590, 8662271, 14015848, 22678105, 36693960, 59372075, 96066068 (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 (2,0,-2,2,-1,0,1).

FORMULA

G.f. -x^4*(13-5*x-9*x^2+13*x^3-6*x^4+4*x^5+8*x^6) / ( (x^2+x-1)*(x^5-x^4+x^3-x+1) ). - R. J. Mathar, Jan 19 2011

PROG

(PARI) a(n)=([0, 1, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 1; 1, 0, -1, 2, -2, 0, 2]^(n-4)*[13; 21; 33; 53; 84; 135; 217])[1, 1] \\ Charles R Greathouse IV, Aug 05 2015

CROSSREFS

Sequence in context: A164442 A164488 A164436 * A164485 A164447 A057200

Adjacent sequences:  A164495 A164496 A164497 * A164499 A164500 A164501

KEYWORD

nonn,easy

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved

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Last modified September 28 19:16 EDT 2021. Contains 347717 sequences. (Running on oeis4.)