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

1,2

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A331910

Example

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.

Prog

(PARI) See Links section.

Crossrefs

Cf. A000002.

Sequence in context: A113137 A220603 A238404 * A240168 A199204 A262750

Adjacent sequences: A331907 A331908 A331909 * A331911 A331912 A331913

Keyword

nonn

Author

Samuel B. Reid, Jan 31 2020

Status

approved