%S A005282?

[franktaw at netscape.net]

It looks to me like A005282 is correct, without the word distinct.  3 
is not included
because  1+3 = 2+2.  2+0 = 1+1, but 0 is not in the sequence, so this 
does not
rule out 2 as member of the sequence.

Your sequence is A011185.

See also A025582.

Franklin T. Adams-Watters

-----Original Message-----
From: zak seidov <zakseidov at yahoo.com>

A005282 reads:

%S A005282
1,2,4,8,13,21,31,45,66,81,97,123,148,182,204,252,290,361,401,475,565,
%N A005282
a(1) = 1; for n>1, a(n) = smallest number > a(n-1)
such that the pairwise sums of elements are all
distinct.

I wonder why not
this:{1,2,3,5,8,13,21,30,39,53,74,95,128,152,182,212,258,316,374,413,476,
531,546}
This sequence corresponds to the rule
a(1) = 1; for n>1, a(n) = smallest number > a(n-1)
such that the pairwise sums of DISTINCT elements are
all distinct.


Apparently in A005282,
a(n) can't be any pairwise sum
of previous DISTINCT terms, but this isn't in %N (?).

zak


       
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