Help needed with new sequences

[wouter meeussen]

sorry,
't should have been {0, 1, 2, 4, 7, 10, 22}
offset-fooled again.

W.

----- Original Message ----- 
From: <hv at crypt.org>
To: "wouter meeussen" <wouter.meeussen at pandora.be>
Cc: "Seqfan (E-mail)" <seqfan at ext.jussieu.fr>; <hv at crypt.org>
Sent: Sunday, May 15, 2005 12:33 PM
Subject: Re: Help needed with new sequences


"wouter meeussen" <wouter.meeussen at pandora.be> wrote:
:it seems {1, 2, 3, 5, 8, 11, 23} are the only integers
:that cannot be expressed as the sum of two squares and
:a triangular number, all three strictly positive.

Hmm:
3 = 1^2 + 1^2 + T(1)
5 = 1^2 + 1^2 + T(2)
8 = 1^2 + 1^2 + T(3)
11 = 1^2 + 3^2 + T(1)
   = 2^2 + 2^2 + T(2)
   = 2^2 + 1^2 + T(3)
23 = 2^2 + 4^2 + T(2)
   = 1^2 + 4^2 + T(3)
   = 2^2 + 3^2 + T(4)
   = 2^2 + 2^2 + T(5)
   = 1^2 + 1^2 + T(6)

Am I misunderstanding the question?

Hugo