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A095276 Length of n-th run of identical symbols in A095076 and A095111. 4

%I #10 Feb 07 2023 05:55:07

%S 1,3,1,1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,1,1,3,1,1,2,1,3,2,3,1,1,2,1,3,1,

%T 1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,2,3,1,1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,1,

%U 1,3,1,1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,2,3,1,1,3,3,1,1,2,1,3,1,1,3,1,1

%N Length of n-th run of identical symbols in A095076 and A095111.

%C Conjecture: it appears that the asymptotic frequencies of terms 1, 2 and 3 are 1/2, 1/(2*phi^2) and 1/(2*phi) respectively, where phi = (1+sqrt(5))/2 is the golden ratio. - _Vladimir Reshetnikov_, Mar 17 2022

%H Amiram Eldar, <a href="/A095276/b095276.txt">Table of n, a(n) for n = 1..10000</a>

%t Length /@ Split[Mod[DigitCount[Select[Range[0, 1500], BitAnd[#, 2 #] == 0 &], 2, 1], 2]] (* _Amiram Eldar_, Feb 07 2023 *)

%Y Partials sums: A095279.

%Y Cf. A001622, A026465, A095076, A095111.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jun 01 2004

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)