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Numbers k with the following property: the value A091839(k+1) is not a 1 that is obtained from smoothing A091579.
1

%I #31 Oct 23 2022 02:29:03

%S 0,1,2,3,5,7,8,9,10,11,13,15,16,17,18,19,21,23,24,25,26,27,29,31,33,

%T 34,35,37,39,40,41,42,43,45,47,49,50,51,53,55,56,57,58,59,61,63,65,66,

%U 67,69,71,73,74,75,77,79,80,81,82,83,85,87,88,89,90,91,93,95,97,98,99,101,103

%N Numbers k with the following property: the value A091839(k+1) is not a 1 that is obtained from smoothing A091579.

%C This sequence is the function iota1 in the article "The first occurrence of a number in Gijswijt's sequence" (page 21). For the connection with smoothing, see Subsection 8.1.

%H F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL10/Sloane/sloane55.html">A Slow-Growing Sequence Defined by an Unusual Recurrence</a>, J. Integer Sequences, Vol. 10 (2007), Article 07.1.2.

%H Levi van de Pol, <a href="https://arxiv.org/abs/2209.04657">The first occurrence of a number in Gijswijt's sequence</a>, arXiv:2209.04657 [math.CO], 2022.

%e 14 is not a term since A091839(14+1) is a 1 obtained from smoothing: in A091579, the eleventh value is 4, which is replaced by 3,1 to obtain the fourteenth and fifteenth terms of A091839.

%Y Cf. A091787, A090822, A357066, A357067.

%K nonn,base

%O 1,3

%A _Levi van de Pol_, Sep 10 2022