A308180 Main diagonal of triangle defined in A308178.

0, 3, 5, 2, 1, 6, 7, 11, 4, 12, 18, 14, 13, 8, 17, 9, 22, 23, 25, 29, 10, 28, 19, 30, 38, 31, 39, 15, 47, 24, 16, 40, 34, 42, 50, 51, 41, 44, 46, 49, 58, 55, 45, 21, 66, 69, 20, 56, 65, 60, 73, 67, 77, 57, 78, 63, 79, 70, 26, 27, 85, 87, 93, 76, 82, 89, 71

Offset: 0

Author

N. J. A. Sloane, May 28 2019

Keywords

• nonn

Comments

Theorem: This is a permutation of the nonnegative integers. [The proof is analogous to that for A286295.]

Conjecture: There is a unique fixed point at n=0, and the positive integers form one "cycle", namely (... 59 27 15 9 12 13 8 4 1 3 2 5 6 7 11 14 17 23 30 16 22 19 29 24 38 ...).

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..5000

Crossrefs

Cf. A308178, A308179, A286295.

Extensions

More terms from Rémy Sigrist, May 29 2019