A282061 Lexicographically earliest sequence of distinct terms such that, for any prime p, any run of consecutive multiples of p has length exactly 2, and the terms in such a run have the same p-adic valuation.

1, 2, 6, 3, 4, 12, 15, 5, 7, 14, 10, 35, 21, 24, 8, 9, 18, 22, 11, 13, 26, 30, 105, 28, 20, 45, 36, 44, 33, 39, 52, 60, 165, 77, 42, 66, 55, 40, 56, 63, 72, 88, 99, 90, 70, 91, 65, 80, 16, 17, 34, 38, 19, 23, 46, 50, 25, 27, 54, 58, 29, 31, 62, 74, 37, 32, 96

Offset: 1

Author

Rémy Sigrist, Feb 05 2017

Keywords

• nonn
• look

Comments

This sequence is similar to A280864, with an additional constraint on the p-adic valuation of consecutive multiples of any prime p. However, the graphs of those two sequences are quite different.

Examples

			See Links section.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, Illustration of the first terms
• Rémy Sigrist, PARI program for A282061

Crossrefs

Cf. A280864.