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

Author

Antti Karttunen, Mar 02 2001

Keywords

• nonn
• base

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

Crossrefs

Inverse: A060119.

Cf. A060132 (fixed points).

Cf. A055089, A060117.

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

Programs

Maple

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

Formula

Other identities. For all n >= 0:

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

Extensions

Edited by Antti Karttunen, Sep 28 2016