A226248 Numerators of rational numbers as generated by the rules: 0 is in S; if x is in S, then x+1 is in S, and if nonzero x is in S, then -1/x are in S.

0, 1, 2, -1, 3, -1, 4, -1, 1, 5, -1, 2, 3, -2, 6, -1, 3, 5, -3, 5, -2, 7, -1, 4, 7, -4, 8, -3, 7, -2, 1, 8, -1, 5, 9, -5, 11, -4, 11, -3, 2, 9, -2, 3, 4, -3, 9, -1, 6, 11, -6, 14, -5, 15, -4, 3, 14, -3, 5, 7, -5, 11, -2, 5, 8, -5, 7, -3, 10, -1, 7, 13, -7

Offset: 1

Author

Clark Kimberling, Jun 01 2013

Keywords

• sign
• easy

Comments

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

Examples

			The denominators and numerators are read from S'':
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..1000

Crossrefs

Cf. A226247.

Programs

Mathematica

(See A226247.)