A136625 - OEIS

%I #7 May 05 2019 15:49:07

%S 1,1,2,1,2,3,2,3,2,2,1,6,2,2,7,4,2,2,6,8,4,2,2,4,12

%N Transpose the irregular triangle A136624; rows will now count numeric partitions and columns will count new Catalan objects.

%e A136624 begins

%e 1

%e .1

%e ....2...1

%e ........2...3...3...1

%e ............2...2...6...7...6...4...1

%e ................2...2...4...8..12..15..17..14..10...5...1

%e ....................2...2...4

%e ........................2...2

%e ............................2

%e so row six of this sequence becomes 1 6 2 2 distributing the 11 partitions.

%Y Cf. A000041, A000108, A136624.

%K more,nonn,tabf

%O 0,3

%A _Alford Arnold_, Jan 20 2008