A112996 - OEIS

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

(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

Table of n, a(n) for n=1..52.

EXAMPLE

The table begins

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

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.

Sequence in context: A128119 A158198 A158793 * A205099 A136621 A108625

Adjacent sequences: A112993 A112994 A112995 * A112997 A112998 A112999

KEYWORD

easy,nonn,tabl,uned

AUTHOR

Alford Arnold, Nov 03 2005

STATUS

approved