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 A195663 Array read by antidiagonals: Consecutive finite permutations of positive integers in reverse colexicographic order. 18
 1, 2, 2, 3, 1, 1, 4, 3, 3, 3, 5, 4, 2, 1, 2, 6, 5, 4, 2, 3, 3, 7, 6, 5, 4, 1, 2, 1, 8, 7, 6, 5, 4, 1, 2, 2, 9, 8, 7, 6, 5, 4, 4, 1, 1, 10, 9, 8, 7, 6, 5, 3, 4, 4, 4, 11, 10, 9, 8, 7, 6, 5, 3, 2, 1, 2, 12, 11, 10, 9, 8, 7, 6, 5, 3, 2, 4, 4, 13, 12, 11, 10, 9, 8, 7, 6, 5, 3, 1, 2, 1, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 3, 1, 3, 3 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row n is the n-th finite permutation of {1,2,3,4,...}. LINKS Tilman Piesk, Table of n, a(n) for n = 0..7259 Tilman Piesk, Detailed table of the 24 permutations of 1...4 Tilman Piesk, Table of the 40320  permutations of 1...8, a supporting file of A198380 OEIS-Wiki, Orderings section rev colex Tilman Piesk, MATLAB code used for the calculation FORMULA a(n) = A195664(n)+1. EXAMPLE The first 24 permutations of positive integers in rev colex order: 00 --> 1 2 3 4 5 6 7 8 ... 01 --> 2 1 3 4 ... 02 --> 1 3 2 4 ... 03 --> 3 1 2 4 ... 04 --> 2 3 1 4 ... 05 --> 3 2 1 4 ... 06 --> 1 2 4 3 ... 07 --> 2 1 4 3 ... 08 --> 1 4 2 3 ... 09 --> 4 1 2 3 ... 10 --> 2 4 1 3 ... 11 --> 4 2 1 3 ... 12 --> 1 3 4 2 ... 13 --> 3 1 4 2 ... 14 --> 1 4 3 2 ... 15 --> 4 1 3 2 ... 16 --> 3 4 1 2 ... 17 --> 4 3 1 2 ... 18 --> 2 3 4 1 ... 19 --> 3 2 4 1 ... 20 --> 2 4 3 1 ... 21 --> 4 2 3 1 ... 22 --> 3 4 2 1 ... 23 --> 4 3 2 1 ... CROSSREFS Cf. A055089 (a very compact representation of these permutations). Cf. A195664 (same for nonnegative integers, so all entries are smaller by 1). Sequence in context: A328732 A130795 A367634 * A362749 A264010 A071435 Adjacent sequences: A195660 A195661 A195662 * A195664 A195665 A195666 KEYWORD nonn,tabl AUTHOR Tilman Piesk, Sep 22 2011 STATUS approved

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Last modified June 20 18:00 EDT 2024. Contains 373532 sequences. (Running on oeis4.)