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

1,2

Links

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

Example

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.

Crossrefs

Cf. A067992.

Sequence in context: A046441 A192335 A334390 * A074131 A355078 A335038

Adjacent sequences: A067990 A067991 A067992 * A067994 A067995 A067996

Keyword

nonn

Author

John W. Layman, Feb 06 2002

Status

approved