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 A167203 Number of Young tableaux with n cells and k inversions. 0
 1, 2, 4, 8, 2, 16, 10, 32, 34, 5, 5, 64, 98, 35, 35, 128, 258, 154, 154, 14, 42, 14 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence of rowsums is A000085, and the sequence of number of terms in each row is A002865. LINKS FindStat - Combinatorial Statistic Finder, The number of inversions of a tableau EXAMPLE The irregular triangle begins ..1 ..2 ..4 ..8...2 .16..10 .32..34...5...5 .64..98..35..35 128.258.154.154..14..42..14 etc. CROSSREFS Cf. A000041, A002865, A000079 (rowsum of A007318), A036799 (rowsum of A059797), A117506. Sequence in context: A011032 A174660 A064897 * A263410 A344915 A285334 Adjacent sequences:  A167200 A167201 A167202 * A167204 A167205 A167206 KEYWORD nonn,tabf,uned AUTHOR Alford Arnold, Nov 07 2009 STATUS approved

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Last modified July 29 07:00 EDT 2021. Contains 346340 sequences. (Running on oeis4.)