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A164455 Number of binary strings of length n with no substrings equal to 0001 0011 or 0111. 1

%I #12 Nov 04 2023 17:48:23

%S 13,22,36,56,89,138,212,328,501,766,1172,1784,2721,4146,6308,9608,

%T 14621,22246,33860,51512,78377,119258,181428,276040,419973,638926,

%U 972084,1478904,2249969,3423106,5207812,7923080,12054061,18338742,27900260

%N Number of binary strings of length n with no substrings equal to 0001 0011 or 0111.

%H R. H. Hardin, <a href="/A164455/b164455.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,0,-3,2).

%F G.f.: -x^4*(13-4*x-8*x^2-16*x^3+16*x^4) / ( (2*x^3+x^2-1)*(x-1)^2 ). - _R. J. Mathar_, Jan 19 2011

%K nonn

%O 4,1

%A _R. H. Hardin_, Aug 14 2009

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Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)