A179314 - OEIS

%I #7 Feb 12 2013 14:55:30

%S 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 15,7,10,6,9,5,6,4,3,3,2,1

%N An irregular table of values refining Table A061260.

%C The row sum sequence A001970 and Table A061260 count partitions of partitions.

%e 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 Partition 2+2+2 yields four cases because we can write 2*3*4/3!=4.

%e 1;

%e 2, 1;

%e 3, 2, 1;

%e 5, 3, 3, 2, 1;

%e 7, 5, 6, 3, 3, 2, 1;

%e 11, 7, 10, 6, 5, 6, 4, 3, 3, 2, 1;

%e 15, 11, 14, 15, 7, 10, 6, 9, 5, 6, 4, 3, 3, 2, 1;

%Y Cf. A000041 (shape sequence), A001970 (row sums), A055884 (has same row sums).

%K nonn,tabf,uned

%O 1,2

%A _Alford Arnold_, Jul 19 2010