A379880 a(n) is the length of the n-th maximum run of consecutive terms of A377091 in arithmetic progression with common difference 1 or -1.

3, 2, 3, 2, 3, 4, 4, 1, 4, 6, 1, 4, 6, 1, 3, 2, 3, 1, 8, 4, 9, 1, 4, 3, 9, 1, 9, 11, 1, 9, 11, 1, 3, 2, 3, 2, 3, 1, 13, 1, 1, 4, 3, 14, 1, 4, 8, 14, 1, 1, 2, 3, 8, 16, 1, 1, 2, 3, 8, 16, 1, 16, 18, 1, 16, 18, 1, 3, 2, 3, 2, 3, 2, 3, 19, 1, 4, 15, 21, 1, 4, 15

Offset: 1

Author

Rémy Sigrist, Jan 05 2025

Keywords

• nonn

Comments

Since the terms in A377091 are required to be distinct, in this arithmetic progression the differences are either all +1 or all -1. - N. J. A. Sloane, Jan 20 2025

Examples

			A377091 begins:
    0, 1, 2, -2, -1, 3, 4, 5, -4, -3, 6, 7, 8, -8, -7, -6, -5, -9.
So the present sequence begins:
    3,       2,      3,       2,      3,       4.
		

Links

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

Crossrefs

Cf. A377091, A380223 (positions of ones).

Programs

Mathematica

(* A377091list is defined at A377091 *)
Map[Length, Most[Split[A377091list[500], Abs[#2 - #1] == 1 &]]] (* Paolo Xausa, Jan 20 2025 *)