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A164435 Number of binary strings of length n with no substrings equal to 0000 0101 or 1011. 1

%I #15 Apr 03 2024 15:15:47

%S 13,22,37,62,104,175,295,496,834,1403,2360,3969,6676,11230,18889,

%T 31771,53440,89888,151193,254310,427757,719498,1210212,2035607,

%U 3423943,5759156,9687042,16293847,27406656,46098673,77539112,130422714,219374241

%N Number of binary strings of length n with no substrings equal to 0000 0101 or 1011.

%H R. H. Hardin, <a href="/A164435/b164435.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 (1,0,1,1,0,1,1).

%F G.f.: -x^4*(13+9*x+15*x^2+12*x^3+7*x^4+12*x^5+8*x^6) ) / ( -1+x+x^3+x^4+x^6+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 18 10:01 EDT 2024. Contains 371779 sequences. (Running on oeis4.)