cp's OEIS Frontend

A268532 Decimal representation of permutations of lengths 1, 2, 3, ... arranged first by number of inversions and then lexicographically.

%I A268532 #26 Mar 27 2016 22:29:28
%S A268532 1,12,21,123,132,213,231,312,321,1234,1243,1324,2134,1342,1423,2143,
%T A268532 2314,3124,1432,2341,2413,3142,3214,4123,2431,3241,3412,4132,4213,
%U A268532 3421,4231,4312,4321,12345,12354,12435,13245,21345,12453
%N A268532 Decimal representation of permutations of lengths 1, 2, 3, ... arranged first by number of inversions and then lexicographically.
%H A268532 David Consiglio, Jr., <a href="/A268532/b268532.txt">Table of n, a(n) for n = 1..5913</a>
%H A268532 David Consiglio, Jr., <a href="/A268532/a268532.py.txt">Python Program</a>
%e A268532 The 24 permutations of length 4 and their numbers of inversions:
%e A268532 1234 0
%e A268532 1243 1
%e A268532 1324 1
%e A268532 2134 1
%e A268532 1342 2
%e A268532 1423 2
%e A268532 2143 2
%e A268532 2314 2
%e A268532 3124 2
%e A268532 1432 3
%e A268532 2341 3
%e A268532 2413 3
%e A268532 3142 3
%e A268532 3214 3
%e A268532 4123 3
%e A268532 2431 4
%e A268532 3241 4
%e A268532 3412 4
%e A268532 4132 4
%e A268532 4213 4
%e A268532 3421 5
%e A268532 4231 5
%e A268532 4312 5
%e A268532 4321 6
%Y A268532 Cf. A000142 (n!), A030299 (in purely lexicographic order), A008302 (number of permutations with k inversions).
%K A268532 nonn,base
%O A268532 1,2
%A A268532 _N. J. A. Sloane_, Feb 19 2016