A130273 Refines A075197(n): number of partitions of n balls of n colors. The refinement has shape A000041(n).

1, 4, 2, 9, 24, 5, 20, 84, 54, 132, 15, 35, 240, 320, 630, 780, 720, 52, 66, 570, 870, 2280, 465, 6240, 4440, 1320, 8280, 4050, 203, 105, 1260, 1974, 6720, 2394, 20580, 19740, 14385, 11445, 83160, 31080, 34860, 77910, 23772, 877, 176, 2520, 4312, 17640, 5432

Offset

1,2

Comments

a(n) can be calculated by resorting A035206 into Mathematica order vice AS1 ordering and then multiplying term by term with A096443(n).

Links

Table of n, a(n) for n=1..49.

Example

The array begins
1
4 2
9 24 5
20 84 54 132 15
...
Row three is (9,24,5) because there are (3, 4,5) cases; and we have (3, 6,1) ways to pick 1,2 or 3 colors.

Crossrefs

Cf. A000041, A000110, A035206, A075197, A096443, A114994.

Sequence in context: A006172 A171631 A052915 * A016516 A349693 A247414

Adjacent sequences: A130270 A130271 A130272 * A130274 A130275 A130276

Keyword

nonn

Author

Alford Arnold, May 19 2007

Status

approved