A317544 - OEIS

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A317544

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

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, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 62, 63, 64, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..67.

N. Rampersad and M. Stipulanti, The Formal Inverse of the Period-Doubling Sequence, arXiv preprint arXiv:1807.11899 [math.CO], 2018.

MATHEMATICA

a[0] = 0;

a[n_] :=

Module[{m, u, i},

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

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