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A317544 Positions of 0's in A317542, the formal inverse of the period-doubling sequence A096268. 2

%I #18 Aug 29 2018 06:32:58

%S 0,2,3,4,6,8,9,10,11,12,14,15,16,18,19,20,21,22,24,25,26,27,28,30,32,

%T 33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,56,57,58,

%U 59,60,62,63,64,66,67,68,69,70,72,73,74,75,76,78,79,80,81,82

%N Positions of 0's in A317542, the formal inverse of the period-doubling sequence A096268.

%H N. Rampersad and M. Stipulanti, <a href="https://arxiv.org/abs/1807.11899">The Formal Inverse of the Period-Doubling Sequence</a>, arXiv preprint arXiv:1807.11899 [math.CO], 2018.

%t a[0] = 0;

%t a[n_] :=

%t Module[{m, u, i},

%t u[0] = 0; u[1] = 1; u[2] = 0; u[3] = 0;

%t u[i_] := If[EvenQ[i], 0, If[IntegerQ[(i - 1)/4], u[2 ((i - 1)/4) - 1], u[(i - 3)/4]]];

%t m = a[n - 1] + 1;

%t While[u[m] == 1, m++];

%t m

%t ]

%Y Cf. A096268, A317542, A317543.

%K nonn

%O 0,2

%A _Manon Stipulanti_, Jul 30 2018

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Last modified June 15 03:12 EDT 2024. Contains 373402 sequences. (Running on oeis4.)