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A195664 Array read by antidiagonals: Consecutive finite permutations of nonnegative integers in reverse colexicographic order. 4
0, 1, 1, 2, 0, 0, 3, 2, 2, 2, 4, 3, 1, 0, 1, 5, 4, 3, 1, 2, 2, 6, 5, 4, 3, 0, 1, 0, 7, 6, 5, 4, 3, 0, 1, 1, 8, 7, 6, 5, 4, 3, 3, 0, 0, 9, 8, 7, 6, 5, 4, 2, 3, 3, 3, 10, 9, 8, 7, 6, 5, 4, 2, 1, 0, 1, 11, 10, 9, 8, 7, 6, 5, 4, 2, 1, 3, 3, 12, 11, 10, 9, 8, 7, 6, 5, 4, 2, 0, 1, 0, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 2, 0, 2, 2 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Row n is the n-th finite permutation of {0,1,2,3...}.
LINKS
Tilman Piesk, Table of the 40320  permutations of 1...8, a supporting file of A198380
OEIS-Wiki, Orderings section rev colex
FORMULA
a(n) = A195663(n)-1.
EXAMPLE
The first 24 permutations of nonnegative integers in rev colex order:
00 --> 0 1 2 3 4 5 6 7 ...
01 --> 1 0 2 3 ...
02 --> 0 2 1 3 ...
03 --> 2 0 1 3 ...
04 --> 1 2 0 3 ...
05 --> 2 1 0 3 ...
06 --> 0 1 3 2 ...
07 --> 1 0 3 2 ...
08 --> 0 3 1 2 ...
09 --> 3 0 1 2 ...
10 --> 1 3 0 2 ...
11 --> 3 1 0 2 ...
12 --> 0 2 3 1 ...
13 --> 2 0 3 1 ...
14 --> 0 3 2 1 ...
15 --> 3 0 2 1 ...
16 --> 2 3 0 1 ...
17 --> 3 2 0 1 ...
18 --> 1 2 3 0 ...
19 --> 2 1 3 0 ...
20 --> 1 3 2 0 ...
21 --> 3 1 2 0 ...
22 --> 2 3 1 0 ...
23 --> 3 2 1 0 ...
CROSSREFS
Cf. A195663 (same for positive integers, so all entries are bigger by 1).
Sequence in context: A099026 A341410 A205341 * A053202 A188122 A341841
KEYWORD
nonn,tabl
AUTHOR
Tilman Piesk, Sep 22 2011
STATUS
approved

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Last modified June 17 06:25 EDT 2024. Contains 373432 sequences. (Running on oeis4.)