

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
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OFFSET

0,4


COMMENTS

Row n is the nth finite permutation of {0,1,2,3...}.


LINKS



FORMULA



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).


KEYWORD



AUTHOR



STATUS

approved



