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 A246292 Number of permutations on [n*(n+1)/2] with cycles of n distinct lengths. 4
 1, 1, 3, 120, 151200, 10897286400, 70959641905152000, 60493719168990845337600000, 9226024969987629401488081551360000000, 329646772667218349211759153151614073700352000000000, 3498788402132461399351052923160966975192989707740695756800000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..30 FORMULA a(n) = C(n+1,2)! / n!. a(n) = A218868(n*(n+1)/2,n) = A218868(A000217(n),n). a(n) = A242027(n*(n+1)/2,n) = A242027(A000217(n),n). a(n) = A022915(n) * A000178(n-1) for n>0. MAPLE a:= n-> binomial(n+1, 2)!/n!: seq(a(n), n=0..12); CROSSREFS Cf. A000142, A000178, A000217, A022915, A218868, A242027, A317165. Sequence in context: A307936 A308142 A289704 * A202768 A289986 A301559 Adjacent sequences:  A246289 A246290 A246291 * A246293 A246294 A246295 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 21 2014 STATUS approved

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Last modified June 24 21:50 EDT 2021. Contains 345433 sequences. (Running on oeis4.)