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A195664 Array read by antidiagonals: Consecutive finite permutations of nonnegative integers in reverse colexicographic order.

%I A195664 #42 Aug 11 2015 15:47:52
%S A195664 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,
%T A195664 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,
%U A195664 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
%N A195664 Array read by antidiagonals: Consecutive finite permutations of nonnegative integers in reverse colexicographic order.
%C A195664 Row n is the n-th finite permutation of {0,1,2,3...}.
%H A195664 Tilman Piesk, <a href="/A195664/b195664.txt">Table of n, a(n) for n = 0..7259</a>
%H A195664 Tilman Piesk, <a href="http://commons.wikimedia.org/wiki/File:Symmetric_group_4;_permutation_list_with_matrices.svg">Detailed table of the 24 permutations of 1...4</a> (A195663)
%H A195664 Tilman Piesk, <a href="/A198380/a198380_1.txt">Table of the 40320  permutations of 1...8</a>, a supporting file of A198380
%H A195664 OEIS-Wiki, <a href="http://oeis.org/wiki/Orderings">Orderings</a> section <a href="http://oeis.org/wiki/Orderings#Reverse_colexicographic_order">rev colex</a>
%F A195664 a(n) = A195663(n)-1.
%e A195664 The first 24 permutations of nonnegative integers in rev colex order:
%e A195664 00  -->  0 1 2 3 4 5 6 7 ...
%e A195664 01  -->  1 0 2 3 ...
%e A195664 02  -->  0 2 1 3 ...
%e A195664 03  -->  2 0 1 3 ...
%e A195664 04  -->  1 2 0 3 ...
%e A195664 05  -->  2 1 0 3 ...
%e A195664 06  -->  0 1 3 2 ...
%e A195664 07  -->  1 0 3 2 ...
%e A195664 08  -->  0 3 1 2 ...
%e A195664 09  -->  3 0 1 2 ...
%e A195664 10  -->  1 3 0 2 ...
%e A195664 11  -->  3 1 0 2 ...
%e A195664 12  -->  0 2 3 1 ...
%e A195664 13  -->  2 0 3 1 ...
%e A195664 14  -->  0 3 2 1 ...
%e A195664 15  -->  3 0 2 1 ...
%e A195664 16  -->  2 3 0 1 ...
%e A195664 17  -->  3 2 0 1 ...
%e A195664 18  -->  1 2 3 0 ...
%e A195664 19  -->  2 1 3 0 ...
%e A195664 20  -->  1 3 2 0 ...
%e A195664 21  -->  3 1 2 0 ...
%e A195664 22  -->  2 3 1 0 ...
%e A195664 23  -->  3 2 1 0 ...
%Y A195664 Cf. A195663 (same for positive integers, so all entries are bigger by 1).
%K A195664 nonn,tabl
%O A195664 0,4
%A A195664 _Tilman Piesk_, Sep 22 2011