A182810 Array read by antidiagonals which lists the partition number of the numbers of the table A182630.

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, 77, 56, 77, 42, 22, 5, 1, 22, 135, 101, 176, 101, 56, 22, 7, 2, 30, 231, 176, 385, 231, 135, 77, 30, 11, 3, 42, 385, 297, 792, 490, 297, 231, 101, 42, 15, 1

Offset

0,4

Links

Table of n, a(n) for n=0..65.

Formula

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

Example

...1....1....1....1....1....2....1....1....2....3....1.
...1....2....3....3....5....7....5....7...11...15....7.
...2....5....7...11...15...22...22...30...42...56...42.
...3...11...15...30...42...56...77..101..135..176..176.
...5...22...30...77..101..135..231..297..385..490..627.
...7...42...56..176..231..297..627..792.1002.1255.1958.

Maple

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

Crossrefs

Cf. A000041, A182630, A182631, A182814.

Sequence in context: A144287 A106196 A037027 * A139375 A106198 A202847

Adjacent sequences: A182807 A182808 A182809 * A182811 A182812 A182813

Keyword

nonn,easy,tabl

Author

Omar E. Pol, Dec 06 2010

Status

approved