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A164507 Number of binary strings of length n with no substrings equal to 0011, 0110, or 1100. 1
1, 2, 4, 8, 13, 22, 37, 63, 106, 180, 304, 515, 871, 1475, 2496, 4226, 7153, 12110, 20500, 34706, 58754, 99469, 168396, 285091, 482651, 817121, 1383372, 2342034, 3965038, 6712778, 11364682, 19240337, 32573779, 55147244, 93364021, 158064880, 267603180 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..2000 (first 500 terms from R. H. Hardin)

Index entries for linear recurrences with constant coefficients, signature (2,0,-1,1,-1,0,-1).

FORMULA

G.f.: -(x^8+x^7+x^6+x^5+2*x^4-x^3-1)/(x^7+x^5-x^4+x^3-2*x+1). - R. J. Mathar, Jan 19 2011

CROSSREFS

Sequence in context: A023600 A164437 A164428 * A164414 A164411 A074467

Adjacent sequences:  A164504 A164505 A164506 * A164508 A164509 A164510

KEYWORD

nonn,easy

AUTHOR

R. H. Hardin, Aug 14 2009

EXTENSIONS

Edited by Alois P. Heinz, Feb 14 2018

STATUS

approved

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Last modified December 9 08:41 EST 2021. Contains 349627 sequences. (Running on oeis4.)