A182974 Numbers n for which A020652(n)/A038567(n) = A182972(n)/A182973(n).

1, 2, 7, 158, 1617, 6211, 8058, 16765, 69093, 465988, 5297983, 6546724, 18588348, 38244610, 204136352, 430712111, 2760559191, 100878516991, 440393924631

Offset: 1

Author

William Rex Marshall, Dec 16 2010

Keywords

• nonn
• more

Comments

Numerators of the matching fractions are given in A182975.

Denominators of the matching fractions are given in A182976.

The initial (zeroth) term of A038567 is ignored.

Examples

			a(1)=1, a(2)=2 and a(3)=7 because the 1st, 2nd and 7th fractions match in the following two sequences:
1/2, 1/3, 2/3, 1/4, 3/4, 1/5, 2/5, 3/5 ... (A020652/A038567)
1/2, 1/3, 1/4, 2/3, 1/5, 1/6, 2/5, 3/4 ... (A182972/A182973)
		

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, A182973, A182975, A182976.