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

1,3

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.

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

Table of n, a(n) for n=1..19.

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

Example

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

Crossrefs

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

Sequence in context: A122675 A042357 A079783 * A228932 A196421 A352405

Adjacent sequences: A182972 A182973 A182974 * A182976 A182977 A182978

Keyword

nonn,frac,more

Author

William Rex Marshall, Dec 16 2010

Status

approved