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 A263409 Triangle read by rows: T(n>=2, k>=0) is the number of standard tableaux of size n and Shynar inversion number k. 0
 2, 3, 1, 5, 3, 2, 7, 6, 7, 5, 1, 11, 12, 16, 16, 12, 6, 3, 15, 20, 31, 38, 41, 36, 26, 15, 7, 3, 22, 34, 58, 79, 98, 107, 107, 89, 71, 50, 28, 14, 6, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS Row sums give A000085, n >= 2. Shynar's inversion number is the number of inversion pairs in a standard Young tableau, where an inversion pair is defined as a pair of integers (x,y) such that y > x and y appears strictly southwest of x in the tableau. LINKS FindStat - Combinatorial Statistic Finder, The Shynar inversion number of a standard tableau. Michael Shynar, On Inversions in Standard Young Tableaux, Formal Power Series and Algebraic Combinatorics, 2004. EXAMPLE Triangle begins: 2, 3,1, 5,3,2, 7,6,7,5,1, 11,12,16,16,12,6,3, 15,20,31,38,41,36,26,15,7,3, 22,34,58,79,98,107,107,89,71,50,28,14,6,1, ... CROSSREFS Cf. A000085. Sequence in context: A261555 A134734 A214569 * A047706 A300518 A111609 Adjacent sequences:  A263406 A263407 A263408 * A263410 A263411 A263412 KEYWORD nonn,tabf,more AUTHOR Christian Stump, Oct 17 2015 STATUS approved

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Last modified July 29 09:31 EDT 2021. Contains 346344 sequences. (Running on oeis4.)