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Search: id:A073201
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| 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 7, 4, 1, 1, 1, 22, 11, 3, 1, 1, 1, 66, 31, 7, 2, 1, 1, 1, 217, 96, 22, 4, 3, 1, 1, 1, 715, 305, 66, 11, 7, 2, 1, 1, 1, 2438, 1007, 217, 30, 22, 4, 2, 2, 1, 1, 8398, 3389, 715, 93, 66, 11, 3, 5, 1, 1, 1, 29414, 11636, 2438, 292, 217, 30, 6, 14, 2, 2, 1, 1
(list; table; graph; listen)
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OFFSET
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0,7
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COMMENT
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Each row of this table gives the counts of separate orbits/cycles to which the gatomorphism given in the corresponding row of A073200 partitions each A000108(n) structures encoded in the range [A014137(n-1)..A014138(n-1)] of the sequence A014486/A063171.
Note that for involutions (self-inverse gatomorphisms) this is always (A000108(n)+Affffff(n))/2, where Affffff is the corresponding "fix-count sequence" from the table A073202.
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LINKS
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A. Karttunen, Gatomorphisms (With the complete source and explanation)
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CROSSREFS
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Only the first known occurrence(s) given (marked with ? if not yet proved/unclear): rows 0, 2, 4, etc.: A007595, Row 1: A073191, Rows 6 (& 8): A073431, Row 7: A000108, Rows 12, 14, 20, ...: A057513, Rows 16, 18, ...: A003239, Row 57, ..., 164: A007123, Row 168: A073193, Row 261: A002995, Row 2614: A057507, Row 2618 (?), row 17517: A001683.
Sequence in context: A058280 A113185 A132069 this_sequence A118654 A111760 A078424
Adjacent sequences: A073198 A073199 A073200 this_sequence A073202 A073203 A073204
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KEYWORD
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nonn,tabl
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AUTHOR
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Antti Karttunen Jun 25 2002
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