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| A055093
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Number of moved (non-fixed) elements in each permutation given in reversed colexicographic ordering A055089, i.e., the sum of their cycle lengths (excluding the 1-cycles, i.e., fixed elements).
(history;
published version)
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#25 by N. J. A. Sloane at Mon Jan 22 05:51:35 EST 2024
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#24 by Joerg Arndt at Mon Jan 22 03:51:33 EST 2024
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#23 by Joerg Arndt at Mon Jan 22 03:46:14 EST 2024
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| COMMENTS
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Also number of displacements for permutations in lexicographic order. - Joerg Arndt, Jan 22 2024
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| STATUS
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approved
editing
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#22 by N. J. A. Sloane at Sat Dec 30 10:00:57 EST 2017
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#21 by Antti Karttunen at Sat Dec 30 01:56:48 EST 2017
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#20 by Antti Karttunen at Sat Dec 30 01:54:15 EST 2017
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| LINKS
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<a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
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| STATUS
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proposed
editing
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#19 by Antti Karttunen at Sat Dec 30 01:50:43 EST 2017
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#18 by Antti Karttunen at Sat Dec 30 01:48:00 EST 2017
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| LINKS
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Antti Karttunen, <a href="/A055093/b055093.txt">Table of n, a(n) for n = 0..40320</a>
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| EXTENSIONS
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Entry revised by Antti Karttunen, Dec 30 2017
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Discussion
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| Sat Dec 30
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| Antti Karttunen: I promised to do these in the beginning of August this year, ..., delivered now!
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#17 by Antti Karttunen at Sat Dec 30 01:43:40 EST 2017
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| NAME
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Number of moved (non-fixed) elements in each permutation given in the reversed colexicographic ordering A055089, i.e., the sum of their cycle lengths (excluding the 1-cycles, i.e., fixed elements).
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| FORMULA
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a(n) = A275812(A290095(n)) = A060129(A060126(n)). - Antti Karttunen, Dec 30 2017
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| MAPLE
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# Procedure PermRevLexUnrank given in A055089.
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| CROSSREFS
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Cf. A055089, A055090, A055091, A055092, A060129, A275812, A290095.
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#16 by Antti Karttunen at Sat Dec 30 01:05:37 EST 2017
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| NAME
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Number of moved (non-fixed) elements in each permutation given ofin the reversed canonicalcolexicographic listordering A055089, i.e., the sum of thetheir cycle lengths (excluding the 1-cycles, i.e., fixed elements).
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