[seqfan] Record values of sigma(n+1)/sigma(n)
zak seidov
zakseidov at yahoo.com
Mon Oct 4 08:59:00 CEST 2010
%N A1 Integers n with record values of
d(n) = sigma(n+1)/sigma(n).
n, d(n)
1, 3
179, 91/30,
239, 31/10,
359, 13/4,
719, 403/120,
839, 24/7,
1259, 52/15,
3359, 18/5,
5039, 403/105,
10079, 39/10,
25199, 12493/3192,
27719, 520/131,
50399, 8463/2125,
55439, 1612/385,
110879, 234/55,
166319, 992/231,
360359, 65520/15109,
665279, 1016/231,
831599, 15376/3465,
1081079, 640/143,
1441439, 252/55,
2162159, 20832/4511,
3603599, 699608/150335,
4324319, 1008/215,
12972959, 308/65,
21621599, 62496/12877,
43243199, 440944/90423,
61261199, 23064/4675,
73513439, 37632/7571,
122522399, 12796056/2553035,
205405199, 615040/122293,
245044799, 12897612/2559509,
410810399, 13888/2717,
698377679, 238080/46189,
735134399, 62992/12155
The last value of d(n)=
62992/12155=
5.182394076511723570547099959
1. More terms?
2. Can we reach, say, d>6?
3. Is any limit for d(n) with n--> inf?
Thanks,
Zak
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