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A120695 Set partitions reversed interpreted as base factorial 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 (list; graph; refs; listen; history; text; internal format)
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: A061556 A053993 A071155 * A103578 A116649 A129771

Adjacent sequences:  A120692 A120693 A120694 * A120696 A120697 A120698

KEYWORD

base,nonn,look,tabf

AUTHOR

Franklin T. Adams-Watters, Jun 28 2006

STATUS

approved

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Last modified August 28 16:15 EDT 2016. Contains 275936 sequences.