A066849 Consider sequence of fractions A066657/A066658 produced by ratios of terms in A066720; let m = smallest integer such that all fractions 1/n, 2/n, ..., (n-1)/n have appeared when we reach A066720(m) = k; sequence gives values of m; set a(n) = -1 if some fraction i/n never appears.

1, 2, 3, 401, 113, 22, 75, 401, 1986, 6547, 1110, 5949, 7952, 2445, 5578, 172617, 2590, 1986, 17471, 41341, 13631, 20900, 14063, 121563, 86009, 17648, 392866, 140171, 59293, 257162, 68370, 172617, 226693, 89942, 489653, 151601, 153287, 231508, 860521, 999664, 479352, 751180, 475540, 1312350, 246470, 287004, 84285, 1137690, 363942, 86009, 276267, 603972, 219888, 1139722, 1525515, 5227193, 1486480, 206546, 379708, 1244626, 374003, 590152, 7230480, 1903679, 1834403

Offset

1,2

Links

Table of n, a(n) for n=1..65.

Example

3/4 does not occur until we reach A066720(401) = 2436 and then we see A066720(320)/A066720(401) = 1827/2436 = 3/4. Therefore a(4) = 401.

Crossrefs

Cf. A066720, A066657, A066658. A066848 gives values of k.

Sequence in context: A355323 A097654 A156986 * A071219 A109855 A306370

Adjacent sequences: A066846 A066847 A066848 * A066850 A066851 A066852

Keyword

nonn,nice

Author

N. J. A. Sloane, Jan 21 2002

Extensions

Corrected by John W. Layman, Feb 05 2002

Greatly extended by David Applegate, Feb 13 2002

Status

approved