%S A005282?

zak seidov zakseidov at yahoo.com
Fri Mar 28 04:34:19 CET 2008


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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