A226249 Positions of nonpositive numbers in the ordering of the rational numbers at A226247.

2, 3, 5, 7, 9, 10, 12, 13, 15, 17, 18, 20, 22, 24, 25, 27, 29, 31, 32, 34, 35, 37, 39, 41, 42, 44, 45, 47, 49, 50, 52, 54, 56, 57, 59, 60, 62, 64, 65, 67, 69, 71, 72, 74, 76, 78, 79, 81, 82, 84, 86, 87, 89, 91, 93, 94, 96, 98, 100, 101, 103, 104, 106, 108

Offset: 1

Author

Clark Kimberling, Jun 01 2013

Keywords

• nonn
• easy

Comments

The rational numbers are ordered as a sequence S'' described at A226247.

Examples

			The positions 1,2,3,5,6,8,9,11,12,... are read from this ordering:
0/1, 1/1, 2/1, -1/1, 3, -1/2, 4/1, -1/3, 1/2, 5, -1/4, 2/3, 3/2, -2, ...
		

Links

• Clark Kimberling, Table of n, a(n) for n = 1..350

Crossrefs

Cf. A005374, A226247.

Programs

Mathematica

(See A226247.)

Formula

a(n) = A005374(n) + n. - Alan Michael Gómez Calderón, Jul 16 2025