A067993 Consider the sequence of ratios min(t(n-1)/t(n), t(n)/t(n-1)), n=2,3,4,..., where the t(n) are the terms of A067992. Let m be the smallest integer such that all fractions 1/n, 2/n, ..., (n-1)/n have appeared when we reach A067992(m); this sequence gives the values of m; set a(n)=0 if some fraction i/n never appears.

1, 2, 4, 6, 18, 10, 20, 32, 38, 42, 44, 64, 104, 110, 118, 134, 144, 148, 264, 252, 266, 270, 272, 412, 418, 432, 438, 442, 444, 498, 530, 586, 712, 720, 722, 730, 744, 1014, 1020, 1024, 1026, 1042, 1154, 1158, 1160, 1172, 1174, 1178, 1516, 1482

Offset: 1

Author

John W. Layman, Feb 06 2002

Keywords

• nonn

Examples

			Since A067992 begins 1,2,3,1,4,3,..., each of 1/4, 2/4= 1/2 and 3/4 have occurred by the time A067992(6)=3 is reached. Thus a(4)=6.
		

Links

• Sean A. Irvine, Table of n, a(n) for n = 1..500

Crossrefs

Cf. A067992.