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A049019 Counts preferential arrangements (onto functions) associated with each numeric partition. +0
5
1, 1, 2, 1, 6, 6, 1, 8, 6, 36, 24, 1, 10, 20, 60, 90, 240, 120, 1, 12, 30, 20, 90, 360, 90, 480, 1080, 1800, 720 (list; graph; listen)
OFFSET

1,3

COMMENT

a(n) is a refinement of A019538 with row sums 1,3,13,75, 541, 4683...

FORMULA

a(n) = A048996(n) * A036038(n); also a(n) = A036040(n) * Factorial ( A036043(n) )

EXAMPLE

a(17) = 240 because we can write A048996(17) * A036038 (17) = 4* 60 A036040(17) * A036043(17) ! = 10 * 24

CROSSREFS

Cf. A000670, A000041.

Sequence in context: A028940 A048998 A133314 this_sequence A046651 A063007 A089231

Adjacent sequences: A049016 A049017 A049018 this_sequence A049020 A049021 A049022

KEYWORD

more,nonn

AUTHOR

Alford Arnold (Alford1940(AT)AOL.com)

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.


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