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A130273 Refines A075197(n): number of partitions of n balls of n colors. The refinement has shape A000041(n). +0
1
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 (list; graph; listen)
OFFSET

1,2

COMMENT

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

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: A097664 A144811 A052915 this_sequence A016516 A138569 A160572

Adjacent sequences: A130270 A130271 A130272 this_sequence A130274 A130275 A130276

KEYWORD

nonn

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), May 19 2007

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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