[seqfan] Re: |a-b| divides concatenation [ab]

Jack Brennen jfb at brennen.net
Mon Sep 20 19:28:21 CEST 2010


Eric Angelini wrote:
> 
> If we drop the "strictly increasing" constraint, we'll get T (which
> is an incredible nightmare to calculate by hand):
> 
>      T = 1, 144, 43, 134, 108, 9, 6, 4, 158, ...
> 1st dif:  143 101  91   26  99  3  2  154 ...
> 

Not easy by hand, I guess, because I think you're off on the fourth
term, and everything past that is bogus then.  :)

I'm assuming that the sequence T and the difference sequence are
supposed to be disjoint, and that each subsequent term of T is the
smallest possible value that preserves this property?  Assuming that,
I get (with computer assistance):

1   144   43  120  80  60  5   390   87  58 56  42  9 6   160
  143   101  77   40  20  55 385   303  29  2  14  33 3 154

I think I have 450 terms of T, but I'll hold off on posting them
until I get confirmation that the sequence looks right through
those first 15 terms.






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