A000123 and company

[Michael Somos]

Regarding duplicate sequences, this seems to be a not uncommon problem.
It seems that some people submit sequences that duplicate those already
in EIS. A little bit of searching turned up the following:

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%I A049985
%S A049985 0,0,0,0,0,1,1,1,3,4,4,7,7,8,13,14,14,20,20,22,29,31,31,39,41,43,52,
   55,
%T A049985 55,68,68,70,81,84,88,103,103,106,119,125,125,143,143,147,167,171,171,
%U A049985 190,192,200,218,223,223,246,252,258,278
%N A049985 a(n)=number of arithmetic progressions of 3 or more positive integers
           , strictly increasing with sum <= n.
%O A049985 1,9
%K A049985 nonn
%A A049985 Clark Kimberling, ck6 at cedar.evansville.edu
  ___________________________________________________________________________
                                 
%I A014406                       
%S A014406 0,0,0,0,0,1,1,1,3,4,4,7,7,8,13,14,14,20,20,22,29,31,31,39,41,43,52,
           55,55,
%T A014406 68,68,70,81,84,88,103,103,106,119,125,125,143,143,147,167,171,171,
           190,192,                            
%U A014406 200,218,223,223,246,252,258,278,283,313,313,318,343,349,356,385,385,
           391                          
%N A014406 Number of strictly increasing arithmetic progressions of >= 3 terms
           with sum <= n.
%O A014406 1,9
%K A014406 nonn
%A A014406 Clark Kimberling (ck6 at cedar.evansville.edu)
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Perhaps a little bit of extra effort before a sequence is officially
entered in EIS would eliminate a lot of this duplication. I hope so.
Shalom, Michael