A060126 - OEIS

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

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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.