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The unrestricted partition statistic defined by A049085(n,k)+A036043(n,k)- 1.
1

%I #6 Jul 23 2012 10:03:31

%S 1,2,2,3,3,3,4,4,3,4,4,5,5,4,5,4,5,5,6,6,5,4,6,5,4,6,5,6,6,7,7,6,5,7,

%T 6,5,5,7,6,5,7,6,7,7,8,8,7,6,5,8,7,6,6,5,8,7,6,6,5,8,7,6,8,7,8,8,9,9,

%U 8,7,6,9,8,7,6,7,6,5,9,8,7,7,6,6,9,8,7,7,6,9,8,7,9,8,9,9,10,10,9,8,7,6,10,9,8

%N The unrestricted partition statistic defined by A049085(n,k)+A036043(n,k)- 1.

%e 1;

%e 2,2;

%e 3,3,3;

%e 4,4,3,4,4;

%e 5,5,4,5,4,5,5;

%e 6,6,5,4,6,5,4,6,5,6,6;

%e 7,7,6,5,7,6,5,5,7,6,5,7,6,7,7;

%Y Cf. A000041 (row lengths), A179862 (row sums), A105805 (the rank statistic)

%K easy,nonn,tabf

%O 1,2

%A _Alford Arnold_, Aug 02 2010