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A164419 Number of binary strings of length n with no substrings equal to 0000, 0010, or 0110. 1

%I #17 Apr 04 2024 04:23:20

%S 1,2,4,8,13,21,33,55,92,156,260,433,717,1193,1985,3310,5512,9180,

%T 15277,25433,42337,70495,117368,195416,325336,541649,901769,1501361,

%U 2499601,4161594,6928588,11535360,19205085,31974413,53233921,88628791,147557332,245667060

%N Number of binary strings of length n with no substrings equal to 0000, 0010, or 0110.

%H Alois P. Heinz, <a href="/A164419/b164419.txt">Table of n, a(n) for n = 0..2000</a> (first 500 terms from R. H. Hardin)

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1,1,1,1).

%F G.f.: -(x^5+2*x^4+3*x^3+x^2+x+1)/(x^6+x^5+x^4-x^3+x^2+x-1). - _R. J. Mathar_, Nov 30 2011

%K nonn,easy

%O 0,2

%A _R. H. Hardin_, Aug 14 2009

%E Edited by _Alois P. Heinz_, Nov 02 2017

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)