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A121388 Table read by antidiagonals which classifies the proper odd numbers by form (i,j) where i and j are the number of prime factors of the form 4k-1 and 4k+1 respectively.

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%I A121388 #4 Mar 31 2012 13:23:38
%S A121388 3,5,7,9,13,11,15,21,17,19,25,35,33,29,23,27,65,39,49,37,31,45,63,85,
%T A121388 51,57,41,43,75,105,99,145,55,69,53,47,125,175,117,147,169,87,77,61,
%U A121388 59,81,325,195,153,171,185,91,93,73,67,135,189,425,255,165,207,205,95,121,89
%N A121388 Table read by antidiagonals which classifies the proper odd numbers by form (i,j) where i and j are the number of prime factors of the form 4k-1 and 4k+1 respectively.
%e A121388 Table begins:
%e A121388 Row(i,j)
%e A121388 1: (1,0) 3,7,11,19,23,31,43,47,59,67,71,79,83,103,... (A002145)
%e A121388 2: (0,1) 5,13,17,29,37,41,53,61,73,89,97,101,109,... (A002144)
%e A121388 3: (2,0) 9,21,33,49,57,69,77,93,121,129,133,141,... (A107978)
%e A121388 4: (1,1) 15,35,39,51,55,87,91,95,111,115,119,... (A080774)
%e A121388 5: (0,2) 25,65,85,145,169,185,205,221,265,289,... (A121387)
%e A121388 6: (3,0) 27,63,99,147,171,207,231,279,343,...
%e A121388 7: (2,1) 45,105,117,153,165,245,261,273,...
%e A121388 8: (1,2) 75,175,195,255,275,435,455,...
%e A121388 9: (0,3) 125,325,425,725,845,925,...
%e A121388 10:(4,0) 81,189,297,441,513,...
%e A121388 11:(3,1) 135,315,351,459,...
%e A121388 12:(2,2) 225,525,585,...
%e A121388 13:(1,3) 375,875,...
%e A121388 14:(0,4) 625,...
%Y A121388 Cf. A120027. Subsequences begin A002145 A002144 A107978 A080774 A121387.
%K A121388 nonn,tabl
%O A121388 1,1
%A A121388 _Alford Arnold_, Jul 26 2006
%E A121388 Edited, corrected and extended by _Ray Chandler_, Aug 08 2010