# [seqfan] Re: Possible interesting sequence

Matthijs Coster info at matcos.nl
Mon Jun 4 03:58:46 CEST 2012

```Dear David,

Dear is a nice alternative: the largest positive integer is as small as
possible.

2:  1 = 1/2+1/3+1/6 (L3)
3:  1 = 1/3+1/4+1/6+1/10+1/12+1/15 (L6)
4:  1 = 1/4+1/5+1/6+1/9+1/10+1/15+1/18+1/20 (L8)
5:  1 = 1/5+1/6+1/8+1/9+1/10+1/12+1/15+1/18+1/20+1/24 (L10)
6:  1 = 1/6+1/7+1/8+1/9+1/10+1/12+1/14+1/15+1/18+1/24+ 1/28 (L11)
7:  1 = 1/7+1/8+1/9+1/10+1/11+1/12+1/14+1/15+1/18+1/22+ 1/24+1/28+1/33
(L13)
8:  1 =
1/8+1/9+1/10+1/11+1/12+1/14+1/15+1/18+1/20+1/21+1/22+1/28+1/30+1/33+1/35+1/40
(L16)
9:  1 =
1/9+1/10+1/11+1/12+1/14+1/15+1/16+1/18+1/20+1/21+1/22+1/24+1/28+1/30+1/33+1/35+
1/40+1/48 (L18)
10:  1 =
1/10+1/11+1/12+1/14+1/15+1/16+1/18+1/20+1/21+1/22+1/24+1/26+1/28+1/30+1/33+1/35+1/36+1/39+1/40+1/48+
1/52 (L21)
11:  1 =
1/11+1/12+1/13+1/14+1/15+1/16+1/18+1/20+1/21+1/22+1/24+1/26+1/27+1/28+1/33+1/35+1/42+1/45+1/48+1/52+
1/54+1/56+1/65 (L23)
12:  1 =
1/12+1/13+1/14+1/15+1/16+1/18+1/20+1/22+1/24+1/26+1/27+1/28+1/30+1/35+1/36+1/40+1/42+1/44+1/45+1/48+1/52+1/54+1/56+1/60+1/65+1/66+1/70+1/72
(L28)
13:  1 =
1/13+1/14+1/16+1/18+1/19+1/20+1/21+1/22+1/24+1/26+1/27+1/28+1/30+1/35+1/36+1/40+1/42+1/44+1/45+1/48+1/50+1/52+1/54+1/56+1/57+1/60+1/65+1/66+1/72+1/75+
1/76 (L31)
14:  1 =
1/14+1/16+1/17+1/18+1/19+1/21+1/22+1/24+1/26+1/27+1/28+1/30+1/33+1/34+1/35+1/36+1/39+1/42+1/44+1/45+1/48+1/50+1/52+1/54+1/55+1/57+1/60+1/70+1/72+1/75+
1/76+1/84+1/85 (L33)
15:  1 =
1/15+1/16+1/17+1/18+1/19+1/21+1/22+1/24+1/26+1/27+1/28+1/30+1/33+1/34+1/35+1/39+1/40+1/42+1/44+1/45+1/50+1/52+1/54+1/55+1/57+1/60+1/63+1/70+1/72+1/75+
1/76+1/80+1/84+1/85 (L34)

Hartelijke groeten
Matthijs Coster

Op 3-6-2012 4:30, David Wilson schreef:
>
> For n >= 3, let S be a set of n positive integers of minimal sum whose