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A195663 Array read by antidiagonals: Consecutive finite permutations of positive integers in reverse colexicographic order. 18
1, 2, 2, 3, 1, 1, 4, 3, 3, 3, 5, 4, 2, 1, 2, 6, 5, 4, 2, 3, 3, 7, 6, 5, 4, 1, 2, 1, 8, 7, 6, 5, 4, 1, 2, 2, 9, 8, 7, 6, 5, 4, 4, 1, 1, 10, 9, 8, 7, 6, 5, 3, 4, 4, 4, 11, 10, 9, 8, 7, 6, 5, 3, 2, 1, 2, 12, 11, 10, 9, 8, 7, 6, 5, 3, 2, 4, 4, 13, 12, 11, 10, 9, 8, 7, 6, 5, 3, 1, 2, 1, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 3, 1, 3, 3 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Row n is the n-th finite permutation of {1,2,3,4,...}.
LINKS
Tilman Piesk, Table of the 40320  permutations of 1...8, a supporting file of A198380
OEIS-Wiki, Orderings section rev colex
Tilman Piesk, MATLAB code used for the calculation
FORMULA
a(n) = A195664(n)+1.
EXAMPLE
The first 24 permutations of positive integers in rev colex order:
00 --> 1 2 3 4 5 6 7 8 ...
01 --> 2 1 3 4 ...
02 --> 1 3 2 4 ...
03 --> 3 1 2 4 ...
04 --> 2 3 1 4 ...
05 --> 3 2 1 4 ...
06 --> 1 2 4 3 ...
07 --> 2 1 4 3 ...
08 --> 1 4 2 3 ...
09 --> 4 1 2 3 ...
10 --> 2 4 1 3 ...
11 --> 4 2 1 3 ...
12 --> 1 3 4 2 ...
13 --> 3 1 4 2 ...
14 --> 1 4 3 2 ...
15 --> 4 1 3 2 ...
16 --> 3 4 1 2 ...
17 --> 4 3 1 2 ...
18 --> 2 3 4 1 ...
19 --> 3 2 4 1 ...
20 --> 2 4 3 1 ...
21 --> 4 2 3 1 ...
22 --> 3 4 2 1 ...
23 --> 4 3 2 1 ...
CROSSREFS
Cf. A055089 (a very compact representation of these permutations).
Cf. A195664 (same for nonnegative integers, so all entries are smaller by 1).
Sequence in context: A328732 A130795 A367634 * A362749 A264010 A071435
KEYWORD
nonn,tabl
AUTHOR
Tilman Piesk, Sep 22 2011
STATUS
approved

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Last modified June 20 18:00 EDT 2024. Contains 373532 sequences. (Running on oeis4.)