A357065 Numbers k with the following property: the value A091839(k+1) is not a 1 that is obtained from smoothing A091579.

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

Offset: 1

Author

Levi van de Pol, Sep 10 2022

Keywords

• nonn
• base

Comments

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.

Examples

			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.
		

Links

• F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence, J. Integer Sequences, Vol. 10 (2007), Article 07.1.2.
• Levi van de Pol, The first occurrence of a number in Gijswijt's sequence, arXiv:2209.04657 [math.CO], 2022.

Crossrefs

Cf. A091787, A090822, A357066, A357067.