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A120695
Set partitions reversed interpreted as factorial base numbers.
5
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
KEYWORD
base,nonn,look,tabf
AUTHOR
STATUS
approved