A060126 Positions of permutations of A055089 in the permutation sequence A060117.

0, 1, 2, 3, 5, 4, 6, 7, 8, 9, 11, 10, 14, 15, 12, 13, 16, 17, 23, 22, 19, 18, 21, 20, 24, 25, 26, 27, 29, 28, 30, 31, 32, 33, 35, 34, 38, 39, 36, 37, 40, 41, 47, 46, 43, 42, 45, 44, 54, 55, 56, 57, 59, 58, 48, 49, 50, 51, 53, 52, 60, 61, 62, 63, 65, 64, 67, 66, 71, 70, 68, 69

Offset

0,3

Comments

Together with the inverse A060119 this can be used to conjugate between "multiplication tables" of A261096 & A261216 (and for example, their main diagonals A261099 & A261219, or between involutions A056019 & A060125, see the Formula section) that have been computed for these two common alternative orderings of permutations. - Antti Karttunen, Sep 28 2016

Links

Antti Karttunen, Table of n, a(n) for n = 0..5040

Index entries for sequences related to factorial base representation

Index entries for sequences that are permutations of the natural numbers

Formula

Other identities. For all n >= 0:

a(A056019(A060119(n))) = A060125(n).

Maple

# Procedure PermRank3R is given in A060125 and PermRevLexUnrank in A055089:
A060126(n) = PermRank3R(PermRevLexUnrank(n));

Crossrefs

Inverse: A060119.

Cf. A060132 (fixed points).

Cf. A055089, A060117.

Cf. also A056019, A060125, A060127, A261096, A261099, A261216, A261219.

Sequence in context: A084489 A084490 A060119 * A216250 A154121 A130375

Adjacent sequences: A060123 A060124 A060125 * A060127 A060128 A060129

Keyword

nonn,base

Author

Antti Karttunen, Mar 02 2001

Extensions

Edited by Antti Karttunen, Sep 28 2016

Status

approved