[seqfan] Re: Subsets with prime sums again - Part 2
zak seidov
zakseidov at yahoo.com
Wed Oct 28 15:14:50 CET 2009
--- On Wed, 10/28/09, Christopher Gribble <chris.eveswell at virgin.net> wrote:
> From: Christopher Gribble <chris.eveswell at virgin.net>
> Subject: [seqfan] Subsets with prime sums again - Part 2
> To: "'Sequence Fanatics Discussion list'" <seqfan at list.seqfan.eu>
> Date: Wednesday, October 28, 2009, 9:33 AM
> Here is another triangle whose column
> sums give Zak's sequence
>
> 4, 26, 444, 11998, 382716, 15844060, .
>
>
>
> This is related to the method of subset construction.
>
> For N = 2, the subsets are {1, 2}, {1, 4}, {2, 3}, {3, 4}.
>
> The first member is 1 in 2 subsets, 2 in 1 subset and 3 in
> 1 subset.
>
> Frequency with
> which first
>
> subset member
> values occur
>
> First N 2
> 3 4
>
> Member
>
> 1 2
> 8 111
>
> 2 1
> 8 88
>
> 3 1
> 4 67
>
> 4
> 4 55
>
> 5
> 1 42
>
> 6
> 1 32
>
> 7
> 23
>
> 8
> 15
>
> 9
> 6
>
> 10
> 3
>
> 11
> 2
> Total 4
> 26 444
>
> This triangle is not in the OEIS either.
>
Christopher,
(as Neil just said)
go ahead! Submit it!
Best,
Zak
> Best regards,
> Chris Gribble
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