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A188512 Lengths of successive runs of identical terms in A188511.

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%I A188512 #21 Jan 29 2025 12:45:14
%S A188512 2,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2,1,2,1,
%T A188512 1,2,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2,1,2,
%U A188512 1,1,2,1,2,1,2,1,1,2,1,2,1,2,1,1,2,1,2
%N A188512 Lengths of successive runs of identical terms in A188511.
%C A188512 A correspondent asked if this sequence was (apart from the initial terms) the same as the Fibonacci word A003842. It is not.
%C A188512 Period 7: repeat [2, 1, 2, 1, 2, 1, 1]. - _Paolo Xausa_, Jan 09 2025
%H A188512 Paolo Xausa, <a href="/A188512/b188512.txt">Table of n, a(n) for n = 1..10000</a>
%H A188512 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,1).
%F A188512 G.f.: (2 + x + 2*x^2 + x^3 + 2*x^4 + x^5 + x^6)/(1 - x^7). - _Stefano Spezia_, Jan 29 2025
%t A188512 PadRight[{}, 100, {2, 1, 2, 1, 2, 1, 1}] (* _Paolo Xausa_, Jan 08 2025 *)
%Y A188512 Cf. A003842, A188511.
%K A188512 nonn,easy
%O A188512 1,1
%A A188512 _N. J. A. Sloane_, Apr 02 2011