|
|
A112996
|
|
A table distributing the values 1 2 5 14 43 144 523 2048 38486 182905 ... A047970 based on row sums of sub-tables counting permutations of partitions.
|
|
0
|
|
|
1, 1, 1, 1, 3, 1, 1, 7, 4, 2, 1, 15, 12, 10, 5, 1, 31, 32, 36, 30, 14, 1, 63, 80, 112, 124, 100, 43, 1, 127, 192, 320, 432, 472, 360, 144, 1, 255, 448, 864, 1360, 1832, 1924, 1390, 523, 1, 511, 1024, 2240, 3958, 6320, 8280
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,5
|
|
COMMENTS
|
The next diagonal, 2 10 36 112 320 864 2240 ... is 1 4 12 32 80 192 448 ... plus 1 6 24 80 240 672 1792 ...
|
|
LINKS
|
|
|
EXAMPLE
|
The table begins
1
1 1
1 3 1
1 7 4 2
1 15 12 10 5
1 31 32 36 30 14
the third diagonal is 1 4 12 32 80 192 448 ... A001787 which, in turn,
is the row sum of the below table
1
2 2
3 6 3
4 12 12 4
5 20 30 20 5
which counts the permutations of
3; 32, 31; 322, 321, 311; 3222, 3221, 3211, 3111; etc.
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|