[seqfan] Re: Terms in A112801 (n=sum of three semiprimes)

Frank Adams-Watters franktaw at netscape.net
Mon Jun 9 16:29:03 CEST 2014


Perhaps it is only odd semiprimes?

Franklin T. Adams-Watters

-----Original Message-----
From: Richard J. Mathar <mathar at mpia-hd.mpg.de>
To: seqfan <seqfan at seqfan.eu>
Sent: Mon, Jun 9, 2014 9:20 am
Subject: [seqfan] Terms in A112801 (n=sum of three semiprimes)


I face problems reproducing the terms in A112801. After the
first run of zeros, there are partitions like

2*9-1 = 17 = 4+4+9 1
2*10-1 = 19 = 4+6+9 1
2*11-1 = 21 = 6+6+9 1
2*12-1 = 23 = 4+4+15 1
2*12-1 = 23 = 4+9+10 2
2*13-1 = 25 = 4+6+15 1
2*13-1 = 25 = 6+9+10 2
2*14-1 = 27 = 4+9+14 1
2*14-1 = 27 = 6+6+15 2
2*14-1 = 27 = 9+9+9 3
2*15-1 = 29 = 4+4+21 1
2*15-1 = 29 = 4+10+15 2
2*15-1 = 29 = 6+9+14 3

The sequence would not continue 1, 0, 1, 2, 2, 2, 4, 4, 4... but
1, 1, 1, 2, 2, 3, 4, 2, 5, 5, 4, 6, 7, 6 (?!)

R. J. Mathar

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