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 A025038 Number of partitions of { 1, 2, ..., 6n } into sets of size 6. 3
 1, 1, 462, 2858856, 96197645544, 11423951396577720, 3708580189773818399040, 2779202577056119960603777920, 4263127221846887596248598498826880, 12233832241625685631640659383106015132800, 61247286460823449786646954166350590676638060800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Andrew Howroyd, Table of n, a(n) for n = 0..50 Cyril Banderier, Philippe Marchal, Michael Wallner, Rectangular Young tableaux with local decreases and the density method for uniform random generation (short version), arXiv:1805.09017 [cs.DM], 2018. Robert Coquereaux and Jean-Bernard Zuber, Counting partitions by genus. II. A compendium of results, arXiv:2305.01100 [math.CO], 2023. See p. 17. FORMULA a(n) = (6n)!/(n!(6!)^n). - Christian G. Bower, Sep 15 1998 PROG (Sage) [rising_factorial(n+1, 5*n)/720^n for n in (0..15)] # Peter Luschny, Jun 26 2012 CROSSREFS Column k=6 of A060540. Sequence in context: A295432 A213406 A294853 * A028684 A212928 A102997 Adjacent sequences: A025035 A025036 A025037 * A025039 A025040 A025041 KEYWORD nonn AUTHOR David W. Wilson EXTENSIONS a(0) and a(10) from Andrew Howroyd, Feb 26 2018 STATUS approved

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Last modified April 21 03:36 EDT 2024. Contains 371850 sequences. (Running on oeis4.)