A sequence unique including differences

[N. J. A. Sloane]

sequence and first differences include all numbers: A005228 *, A030124 , A037257 , A037258 , A037259  
 Best regards
 			 Neil
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Date: Thu, 29 May 2008 19:20:33 -0700
From: "Max Alekseyev" <maxale at gmail.com>
To: njas at research.att.com
Subject: Re: A sequence unique including differences
Cc: franktaw at netscape.net, seqfan at ext.jussieu.fr
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Neil,

The current definition of A005228 sounds like a property not a definition:

%N A005228 Sequence and first differences (A030124) include all
numbers exactly once.

I think there many such sequences exist. Does A005228 imply the
lexicographically smallest  sequence of positive integers?
If so, I suggest to change the definition to:

%N A005228 The lexicographically smallest sequence that together with
its first differences (A030124) contain every positive integer exactly
once.

Also, Franklin suggested a different sequence where "first difference"
are replaced with their absolute values.

Regards,
Max


On Thu, May 29, 2008 at 7:11 PM, N. J. A. Sloane <njas at research.att.com> wrote:
> Franklin:  there is an entry in the Index to
> the OEIS that is relevant, in case you missed it:
>
> sequence and first differences include all numbers: A005228 *, A030124 , A037257 , A037258 , A037259
>
>
>  Best regards
>                         Neil
>