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

[Ray Chandler]

4 and 9 do not belong in the sums since they do not have two distinct prime factors.
Ray

> 
> 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
>