A120695 Set partitions reversed interpreted as factorial base numbers.

0, 1, 3, 5, 9, 15, 11, 17, 23, 33, 57, 39, 63, 87, 35, 59, 83, 41, 65, 89, 47, 71, 95, 119, 153, 273, 177, 297, 417, 159, 279, 399, 183, 303, 423, 207, 327, 447, 567, 155, 275, 395, 179, 299, 419, 203, 323, 443, 563, 161, 281, 401, 185, 305, 425, 209, 329, 449

Offset: 0

Author

Franklin T. Adams-Watters, Jun 28 2006

Keywords

• base
• nonn
• look
• tabf

Examples

			The third set partition is {1,2}, 21 in base factorial is 5, so a(3) = 5.
Triangle begins:
   0;
   1;
   3,  5;
   9, 15, 11, 17, 23;
  33, 57, 39, 63, 87, 35, 59, 83, 41, 65, 89, 47, 71, 95, 119;
		

Links

• Alois P. Heinz, Rows n = 0..9, flattened

Crossrefs

Cf. A000110 (row lengths), A120698, A120696 (sorted), A120697, A071155.

Column k=0 gives A007489.

Programs

Maple

b:= proc(n, m, t) option remember; `if`(n=0, [0], [seq(map(
       x-> x+j*t!, b(n-1, max(m, j), t+1))[], j=1..m+1)])
    end:
T:= n-> b(n, 0, 1)[]:
seq(T(n), n=0..5);  # Alois P. Heinz, Apr 04 2016