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A179314 An irregular table of values refining Table A061260.

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%I A179314 #7 Feb 12 2013 14:55:30
%S A179314 1,2,1,3,2,1,5,3,3,2,1,7,5,6,3,3,2,1,11,7,10,6,5,6,4,3,3,2,1,15,11,14,
%T A179314 15,7,10,6,9,5,6,4,3,3,2,1
%N A179314 An irregular table of values refining Table A061260.
%C A179314 The row sum sequence A001970 and Table A061260 count partitions of partitions.
%e A179314 Row six Col three of A061260 can be derived from partitions 4+1+1, 3+2+1, and 2+2+2 yielding 5+6+4 = 15 cases.
%e A179314 Partition 2+2+2 yields four cases because we can write 2*3*4/3!=4.
%e A179314 1;
%e A179314 2, 1;
%e A179314 3, 2, 1;
%e A179314 5, 3, 3, 2, 1;
%e A179314 7, 5, 6, 3, 3, 2, 1;
%e A179314 11, 7, 10, 6, 5, 6, 4, 3, 3, 2, 1;
%e A179314 15, 11, 14, 15, 7, 10, 6, 9, 5, 6, 4, 3, 3, 2, 1;
%Y A179314 Cf. A000041 (shape sequence), A001970 (row sums), A055884 (has same row sums).
%K A179314 nonn,tabf,uned
%O A179314 1,2
%A A179314 _Alford Arnold_, Jul 19 2010