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A164508 Number of binary strings of length n with no substrings equal to 0101, 0110, or 1001. 1
1, 2, 4, 8, 13, 20, 33, 56, 93, 152, 250, 414, 685, 1130, 1864, 3078, 5084, 8394, 13857, 22878, 37775, 62370, 102975, 170016, 280708, 463468, 765213, 1263410, 2085966, 3444058, 5686348, 9388500, 15500977, 25593048, 42255665, 69766644, 115188925, 190183848 (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,-1,0,2,-2,1).

FORMULA

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

CROSSREFS

Sequence in context: A164487 A130840 A115266 * A308094 A292774 A026039

Adjacent sequences:  A164505 A164506 A164507 * A164509 A164510 A164511

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 September 16 07:16 EDT 2021. Contains 347469 sequences. (Running on oeis4.)