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A164397 Number of binary strings of length n with no substrings equal to 0001 or 0111. 2
14, 24, 41, 68, 112, 184, 300, 488, 793, 1286, 2084, 3376, 5466, 8848, 14321, 23176, 37504, 60688, 98200, 158896, 257105, 416010, 673124, 1089144, 1762278, 2851432, 4613721, 7465164, 12078896, 19544072, 31622980, 51167064, 82790057, 133957134 (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 (2,0,0,-2,0,1)

FORMULA

G.f.: -x^4*(14-4*x-7*x^2-14*x^3+4*x^4+8*x^5) / ( (1+x+x^2)*(x^2+x-1)*(x-1)^2 ). - R. J. Mathar, Nov 30 2011

MATHEMATICA

LinearRecurrence[{2, 0, 0, -2, 0, 1}, {14, 24, 41, 68, 112, 184}, 40] (* Harvey P. Dale, Jan 23 2012 *)

CROSSREFS

Cf. A178982.

Sequence in context: A111743 A164402 A164406 * A164399 A164396 A164404

Adjacent sequences:  A164394 A164395 A164396 * A164398 A164399 A164400

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved

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Last modified June 27 11:25 EDT 2017. Contains 288788 sequences.