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 A332784 The number of permutations of {n 1's, n 2's,...,n n's} with the property that b(1) >= b(2) >= ... >= b(n), where n k's are skipped by b(k) for k=1..n. 2
 5, 18, 110, 508, 4968, 25824, 305376, 2375616, 28316832, 202354752, 4771240704, 33499830528, 612464852736, 9023719675392, 176001733301760, 1649576855476224 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS FORMULA Conjecture: a(n) = A332783(n) + (n-1)!. EXAMPLE In case of n = 2.      |              | b(1),b(2) -----+--------------+----------    1 | [2, 2, 1, 1] | [0, 0]    2 | [2, 1, 2, 1] | [1, 1]    3 | [1, 2, 2, 1] | [2, 0]    4 | [1, 2, 1, 2] | [1, 1]    5 | [1, 1, 2, 2] | [0, 0] In case of n = 3.      |                             | b(1),b(2),b(3) -----+-----------------------------+---------------    1 | [3, 3, 3, 2, 2, 2, 1, 1, 1] | [0, 0, 0]    2 | [3, 3, 3, 2, 1, 2, 1, 2, 1] | [1, 1, 0]    3 | [3, 3, 3, 1, 2, 1, 2, 1, 2] | [1, 1, 0]    4 | [3, 3, 3, 1, 1, 1, 2, 2, 2] | [0, 0, 0]    5 | [3, 2, 1, 3, 2, 1, 3, 2, 1] | [2, 2, 2]    6 | [3, 1, 2, 3, 1, 2, 3, 1, 2] | [2, 2, 2]    7 | [1, 3, 3, 3, 1, 2, 2, 2, 1] | [3, 0, 0]    8 | [2, 3, 1, 2, 3, 1, 2, 3, 1] | [2, 2, 2]    9 | [1, 3, 2, 1, 3, 2, 1, 3, 2] | [2, 2, 2]   10 | [2, 1, 3, 2, 1, 3, 2, 1, 3] | [2, 2, 2]   11 | [1, 2, 3, 1, 2, 3, 1, 2, 3] | [2, 2, 2]   12 | [2, 2, 2, 3, 3, 3, 1, 1, 1] | [0, 0, 0]   13 | [1, 1, 1, 3, 3, 3, 2, 2, 2] | [0, 0, 0]   14 | [1, 2, 2, 2, 1, 3, 3, 3, 1] | [3, 0, 0]   15 | [2, 2, 2, 1, 1, 1, 3, 3, 3] | [0, 0, 0]   16 | [2, 1, 2, 1, 2, 1, 3, 3, 3] | [1, 1, 0]   17 | [1, 2, 1, 2, 1, 2, 3, 3, 3] | [1, 1, 0]   18 | [1, 1, 1, 2, 2, 2, 3, 3, 3] | [0, 0, 0] CROSSREFS Cf. A332762, A332783. Sequence in context: A228614 A158455 A009442 * A302435 A332467 A036688 Adjacent sequences:  A332781 A332782 A332783 * A332785 A332786 A332787 KEYWORD nonn,more AUTHOR Seiichi Manyama, Feb 23 2020 EXTENSIONS a(9)-a(17) from Bert Dobbelaere, Mar 08 2020 STATUS approved

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Last modified August 11 05:42 EDT 2020. Contains 336422 sequences. (Running on oeis4.)