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Search: id:A127122
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| 1, 3, 4, 8, 4, 19, 18, 4, 20, 14, 64, 38
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Function for a partition P with maximum part size k, the number of endofunctions with indegree partition P + [m] for any m > k. Larger values of m just add additional points with empty preimage that map to the element with indegree m. Partitions are in Mathematica order.
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EXAMPLE
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The fifth partition in Mathematica order is [2,1]. The number of endofunctions with indegree partitions [3,2,1] is 19 (likewise for [4,2,1], [5,2,1], etc.), so a(5) = 19.
The triangle starts:
1
3
4 8
4 19 18
4 20 14 64 38
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CROSSREFS
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Sequence in context: A154743 A020812 A021291 this_sequence A086850 A050274 A057926
Adjacent sequences: A127119 A127120 A127121 this_sequence A127123 A127124 A127125
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KEYWORD
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more,nonn,tabf
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AUTHOR
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Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jan 05 2007
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