A000001 Sophie Germain triangular numbers

[Jonathan Post]

Zak,

I suggest that you consider this the k=3 row of the array of Sophie Germain
k-gonal numbers.  Now you have the sequence of thast array read by
antidiagonals, the sequence which is the main diagonal of the array, and
others.

Sophie Germain herself would say: "What does that have to do with primes?"
Robert G. Wilson v will very soon be submitting some sequences which relate
triangular numbers and k-gonal numbers to primes in a new way.

Best,

Jonathan

On 12/4/06, zak seidov <zakseidov at yahoo.com> wrote:
>
> Just submitted:
>
> %I A000001
> %S A000001
>
> 0,1,10,45,351,1540,11935,52326,405450,1777555,13773376,60384555,467889345,2051297326,15894464365,69683724540,539943899076,2367195337045,18342198104230
> %N A000001 Sophie Germain triangular numbers tr:
> 2*tr+1 is also a triangular number.
> %C A000001 a(n)=(A124124[[n]]^2+A124124[[n]]-2)/4.
> %F A000001 For given a(1..6),
> a(n)=35(a(n-2)-a(n-4))+a(n-6).
> %Y A000001 Cf. A005384,  A077442, A124124.
>
>
>
>
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