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

0,3

Links

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

Example

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;

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

Crossrefs

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

Column k=0 gives A007489.

Sequence in context: A053993 A327562 A071155 * A355898 A103578 A116649

Adjacent sequences: A120692 A120693 A120694 * A120696 A120697 A120698

Keyword

base,nonn,look,tabf

Author

Franklin T. Adams-Watters, Jun 28 2006

Status

approved