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A131419 Central diagonal and left half of table A054225 which counts the partitions of n objects of 2 colors.

%I A131419 #8 Mar 31 2012 13:23:38
%S A131419 1,1,2,2,3,4,5,7,9,7,12,16,11,19,29,31,15,30,47,57,22,45,77,97,109,30,
%T A131419 67,118,162,189,42,97,181,257,323,339,56,139,267,401,522,589,77,195,
%U A131419 392,608,831,975,1043,101,272,560,907,1279,1576,1752,135,373
%N A131419 Central diagonal and left half of table A054225 which counts the partitions of n objects of 2 colors.
%C A131419 Every diagonal appears in sequence A129306.
%e A131419 Table A054225 begins
%e A131419 1
%e A131419 1...1
%e A131419 2...2...2
%e A131419 3...4...4...3
%e A131419 5...7...9...7...5
%e A131419 7..12..16..16..12..7
%e A131419 The diagonals in the new table begin
%e A131419 1..1..2..3..5...7...11...15...22...30..42 A000041
%e A131419 .....2..4..7..12...19...30...45...67..97 A000070
%e A131419 ........9.16..29...47...77..118..181
%e A131419 ..........31..57...97..162..257
%e A131419 .............109..189..323
%e A131419 ..................339
%Y A131419 Cf. A108464, A129306.
%K A131419 nonn,tabf
%O A131419 0,3
%A A131419 _Alford Arnold_, Jul 11 2007
%E A131419 More terms from _R. J. Mathar_, Sep 02 2007