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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

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

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

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

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Last modified January 18 13:09 EST 2019. Contains 319271 sequences. (Running on oeis4.)