Non-occurring differences in variants of A005282

[Pfoertner, Hugo]

> Von: Pfoertner, Hugo 
> Gesendet am: 24 February, 2003 17:16
> An: 'Sequence Fans Mailing List'
> Betreff: Non-occurring differences in variants of A005282
>
>%I A080933
> %S A080933 33 49 26 15 30 19 44 13 38 50 54 58 44 46 25 20 45 10 13
> %N A080933 Smallest non-occurring pairwise difference between the elements
> of a Mian-Chowla sequence (A005282) variant starting with (1,n).
<snip>

> My question: Will this sequence eventually become periodic or even
constant
> for large n?

For large n the sequence consists of increasingly long runs of "33", which
is the first term of A080200 (the smallest non-occurring difference in
A005282), with some interspersed other terms.
E.g. for n=100000..100100 A080933(n)=88 for
n=100005,100021,100041,100087,100099
A080933(100072)=98, else A080933(n)=33

Hugo Pfoertner