A194799 Triangle read by rows: T(n,k) = number of partitions of n that are formed by k sections, k >= 1.

1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 4, 2, 2, 1, 1, 1, 4, 4, 2, 2, 1, 1, 1, 7, 4, 4, 2, 2, 1, 1, 1, 8, 7, 4, 4, 2, 2, 1, 1, 1, 12, 8, 7, 4, 4, 2, 2, 1, 1, 1, 14, 12, 8, 7, 4, 4, 2, 2, 1, 1, 1, 21, 14, 12, 8, 7, 4, 4, 2, 2, 1, 1, 1, 24, 21, 14

Offset: 1

Author

Omar E. Pol, Jan 30 2012

Keywords

• nonn
• tabl

Comments

Also triangle read by rows in which row n lists the first k terms of A187219 in reverse order. For more information see A135010.

Examples

			Triangle begins:
1,
1,1,
1,1,1,
2,1,1,1,
2,2,1,1,1,
4,2,2,1,1,1,
4,4,2,2,1,1,1,
7,4,4,2,2,1,1,1,
8,7,4,4,2,2,1,1,1,
12,8,7,4,4,2,2,1,1,1,
14,12,8,7,4,4,2,2,1,1,1,
21,14,12,8,7,4,4,2,2,1,1,1
		

Crossrefs

Columns are A187219. Row sums give A000041, n >= 1.

Cf. A002865, A116598, A135010, A138121, A182748, A186114, A193870, A194436-A194438, A194446.