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A164492 Number of binary strings of length n with no substrings equal to 0010 0101 or 0110. 1

%I #14 Mar 30 2024 04:36:34

%S 13,21,34,56,93,155,259,432,719,1195,1986,3302,5492,9136,15198,25281,

%T 42051,69943,116335,193500,321852,535345,890454,1481114,2463569,

%U 4097704,6815793,11336848,18856817,31364944,52169978,86775429,144335401

%N Number of binary strings of length n with no substrings equal to 0010 0101 or 0110.

%H R. H. Hardin, <a href="/A164492/b164492.txt">Table of n, a(n) for n=4..500</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,0,1,0,0,1).

%F G.f.: -x^4*(13-5*x+5*x^2+9*x^3+2*x^4+4*x^5+8*x^6) / ( -1+2*x-x^2+x^4+x^7 ). - _R. J. Mathar_, Jan 19 2011

%K nonn,easy

%O 4,1

%A _R. H. Hardin_, Aug 14 2009

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)