A331910 Lexicographically earliest sequence of positive terms such that a(n) is the length of the n-th run of consecutive, equal terms and such that no two runs are identical.

1, 2, 2, 1, 1, 2, 3, 4, 4, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 4, 5, 6, 3, 3, 5, 5, 6, 6, 7, 7, 8, 7, 9, 10, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 1

Author

Samuel B. Reid, Jan 31 2020

Keywords

• nonn

Examples

			a(8) and a(9) are 4 because runs of length 2 containing values 1 and 2 appear earlier in the sequence and because a(7) is 3.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program for A331910

Crossrefs

Cf. A000002.

Programs

PARI

See Links section.