[seqfan] Fwd: Problems with A072229

[franktaw at netscape.net]

I sent the following message to the author of this sequence last week, 
but have not received any reply.  Can anyone here answer my questions?

Franklin T. Adams-Watters

-----Original Message-----
From: franktaw at netscape.net

There are some problems with your sequence A072229.  You gave the
formula: 

a(n) = n/2 + (0, 0, 0, 0, 1, 2, 3, 4) depending on residue of n mod 8. 
 

But if n/2 means floor(n/2), this would make the sequence start: 

0,0,1,1,3,4,6,7 

instead of 0,0,0,0,1,2,3,4.  I would guess that what you want is
actually 4*floor(n/8) + .... 

Furthermore, the terms shown do not match this formula: there is one
less of each multiple of 4 than there should be.  In other words, what
is actually present is: 

4*floor(n/7) + (0, 0, 0, 0, 1, 2, 3)[n mod 7]. 

I don't know anything about bilinear forms, so I can't tell if it is
the formula or the values that is incorrect.