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 A268532 Decimal representation of permutations of lengths 1, 2, 3, ... arranged first by number of inversions and then lexicographically. 1
 1, 12, 21, 123, 132, 213, 231, 312, 321, 1234, 1243, 1324, 2134, 1342, 1423, 2143, 2314, 3124, 1432, 2341, 2413, 3142, 3214, 4123, 2431, 3241, 3412, 4132, 4213, 3421, 4231, 4312, 4321, 12345, 12354, 12435, 13245, 21345, 12453 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS David Consiglio, Jr., Table of n, a(n) for n = 1..5913 David Consiglio, Jr., Python Program EXAMPLE The 24 permutations of length 4 and their numbers of inversions: 1234 0 1243 1 1324 1 2134 1 1342 2 1423 2 2143 2 2314 2 3124 2 1432 3 2341 3 2413 3 3142 3 3214 3 4123 3 2431 4 3241 4 3412 4 4132 4 4213 4 3421 5 4231 5 4312 5 4321 6 CROSSREFS Cf. A000142 (n!), A030299 (in purely lexicographic order), A008302 (number of permutations with k inversions). Sequence in context: A225864 A134514 A030299 * A260275 A001292 A292523 Adjacent sequences:  A268529 A268530 A268531 * A268533 A268534 A268535 KEYWORD nonn,base AUTHOR N. J. A. Sloane, Feb 19 2016 STATUS approved

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Last modified April 23 03:26 EDT 2019. Contains 322380 sequences. (Running on oeis4.)