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
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
Programs
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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
Comments