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

1,2

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.

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

Example

See Links section.

Crossrefs

Cf. A280864.

Sequence in context: A026203 A317025 A354804 * A258252 A351496 A154048

Adjacent sequences: A282058 A282059 A282060 * A282062 A282063 A282064

Keyword

nonn,look

Author

Rémy Sigrist, Feb 05 2017

Status

approved