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A164416 Number of binary strings of length n with no substrings equal to 0000 0001 or 1111 1
13, 23, 40, 69, 120, 208, 361, 626, 1086, 1884, 3268, 5669, 9834, 17059, 29592, 51333, 89047, 154469, 267956, 464821, 806321, 1398718, 2426344, 4208958, 7301243, 12665403, 21970565, 38112149, 66112815, 114685328, 198943646, 345105821 (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 (0,1,2,2,1).

FORMULA

G.f. -x^4*(13+23*x+27*x^2+20*x^3+8*x^4) / ( -1+x^2+2*x^3+2*x^4+x^5 ). - R. J. Mathar, Nov 30 2011

CROSSREFS

Sequence in context: A070219 A046119 A164408 * A164491 A164434 A164494

Adjacent sequences:  A164413 A164414 A164415 * A164417 A164418 A164419

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified August 22 20:19 EDT 2017. Contains 290951 sequences.