A182975 Numerators of fractions with the same position in A020652/A038567 and A182972/A182973.

1, 1, 2, 9, 30, 59, 67, 97, 197, 513, 1729, 1922, 3239, 4646, 10734, 15592, 39474, 238623, 498579

Offset: 1

Author

William Rex Marshall, Dec 16 2010

Keywords

• nonn
• frac
• more

Comments

The positions of the matching fractions are given in A182974.

The denominators of the matching fractions are given in A182976.

The initial (zeroth) term of A038567 is ignored.

Examples

			The matching fractions are 1/2, 1/3, 2/5, 9/23, 30/73, 59/143 ... (this is A182975/A182976).
		

References

• S. Cook, Problem 511: An Enumeration Problem, Journal of Recreational Mathematics, Vol. 9:2 (1976-77), 137. Solution by the Problem Editor, JRM, Vol. 10:2 (1977-78), 122-123.

Links

• Paul Yiu, Recreational Mathematics, 24.3.1 Appendix: Two enumerations of the rational numbers in (0,1), page 633.

Crossrefs

Cf. A020652, A038567, A182972-A182974, A182976.