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Array read by antidiagonals which lists the partition number of the numbers of the table A182630.
1

%I #6 Mar 30 2012 17:34:04

%S 1,1,1,2,2,1,3,5,3,1,5,11,7,3,1,7,22,15,11,5,2,11,42,30,30,15,7,1,15,

%T 77,56,77,42,22,5,1,22,135,101,176,101,56,22,7,2,30,231,176,385,231,

%U 135,77,30,11,3,42,385,297,792,490,297,231,101,42,15,1

%N Array read by antidiagonals which lists the partition number of the numbers of the table A182630.

%F T(n,k) = A000041(A182630(n,k)), n,k >=0.

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

%e ...1....2....3....3....5....7....5....7...11...15....7.

%e ...2....5....7...11...15...22...22...30...42...56...42.

%e ...3...11...15...30...42...56...77..101..135..176..176.

%e ...5...22...30...77..101..135..231..297..385..490..627.

%e ...7...42...56..176..231..297..627..792.1002.1255.1958.

%p A182810 := proc(n,k) combinat[numbpart](A182630(n,k)) ; end proc:

%Y Cf. A000041, A182630, A182631, A182814.

%K nonn,easy,tabl

%O 0,4

%A _Omar E. Pol_, Dec 06 2010