cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A067993 #11 Jan 17 2024 17:49:44
%S A067993 1,2,4,6,18,10,20,32,38,42,44,64,104,110,118,134,144,148,264,252,266,
%T A067993 270,272,412,418,432,438,442,444,498,530,586,712,720,722,730,744,1014,
%U A067993 1020,1024,1026,1042,1154,1158,1160,1172,1174,1178,1516,1482
%N 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.
%H A067993 Sean A. Irvine, <a href="/A067993/b067993.txt">Table of n, a(n) for n = 1..500</a>
%e A067993 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.
%Y A067993 Cf. A067992.
%K A067993 nonn
%O A067993 1,2
%A A067993 _John W. Layman_, Feb 06 2002