A112996 A table distributing the values 1 2 5 14 43 144 523 2048 38486 182905 ... A047970 based on row sums of subtables counting permutations of partitions.

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

Offset: 1

Author

Alford Arnold, Nov 03 2005

Keywords

• easy
• nonn
• tabl
• uned

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 ...

Examples

			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

Cf. A047969, A047970.