[seqfan] Re: Absolute diff and sums not to be shared

[Reinhard Zumkeller]

see https://oeis.org/draft/A254788

Best, Reinhard

2015-02-07 23:23 GMT+01:00 Eric Angelini <Eric.Angelini at kntv.be>:

> Hello SeqFans,
> We want S to be a permutation of the integers >0;
> We want S to be the lexicographically first seq of its kind (see below);
> If we take two adjacent integers of S, say p & q, we want that:
> -> no other pair of adjacent integers in S shares the abs. diff. |p-q|
> -> no other pair of adjacent integers in S shares the sum (p+q)
> -> no |p-q|=(p'+q') with p'and q' being two other adjacent integers in S.
>
> So S is extended with the smallest integer n such that neither |(n-1)-n|
> nor [(n-1)+n] has occurred before as a sum or as a diff. of two adjacent
> integers in S.
>
>   Sum  3  6  12 11 13  28  27 32  29 22
> S(n)= 1  2  4  8  3  10  18  9  23  6  16 ...
>   Dif  1  2  4  5  7   8   9  14  17 10
>
> Hope this is not old hat,
> Best,
> É.
>
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