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A195664
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Array read by antidiagonals: Consecutive finite permutations of nonnegative integers in reverse colexicographic order.
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4
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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
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OFFSET
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0,4
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COMMENTS
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Row n is the n-th finite permutation of {0,1,2,3...}.
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LINKS
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FORMULA
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EXAMPLE
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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 ...
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CROSSREFS
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Cf. A195663 (same for positive integers, so all entries are bigger by 1).
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KEYWORD
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AUTHOR
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STATUS
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approved
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