A379070 a(n) = |A377091(n)|.

0, 1, 2, 2, 1, 3, 4, 5, 4, 3, 6, 7, 8, 8, 7, 6, 5, 9, 10, 11, 12, 13, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 21, 20, 19, 23, 22, 26, 27, 28, 24, 25, 26, 27, 28, 29, 30, 31, 32, 32, 31, 30, 29, 33, 34, 35, 36, 37, 38, 39, 40, 41, 40, 36, 35, 34, 33, 37, 38, 39, 42, 43, 44, 45, 46, 47, 48, 49, 50, 50, 41, 42, 43, 44, 45

Offset: 0

Author

N. J. A. Sloane, Dec 29 2024

Keywords

• nonn

Comments

The absolute values of the terms in A377091, in order, including all repeats.

The information in this sequence is of course already available in A377091, but showing just the absolute values emphasizes the initially surprising fact that there are essentially no interior points in A377091.

The b-files here and in A379071 suggest that |a(n) - n/2| = O(sqrt(n)), and even that |a(n) - n/2| <= (1/2)*sqrt(n).

Links

• N. J. A. Sloane, Table of n, a(n) for n = 0..20000

Crossrefs

Cf. A377091, A379071.

Programs

Mathematica

(* A377091list is defined at A377091 *)
Abs[A377091list[100]] (* Paolo Xausa, Jan 20 2025 *)