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 A322126 Number of permutations of the multiset {1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,...,n,n,n,n,n} with no two consecutive terms equal. 2
 1, 0, 2, 7188, 134631576, 7946203275000, 1210527140790855600, 411490045733601418421040, 280031356887267221923677137280, 351026687723982522494728236869341440, 758933713536173718404757245269681913222400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..106 FORMULA a(n) = n! * A190833(n). a(n) = Integral_{0..infinity} (x - 2 * x^2 + x^3 - 1/6 * x^4 + 1/120 * x^5)^n * exp(-x) dx. MATHEMATICA a[n_] := Integrate[(x - 2 * x^2 + x^3 - 1/6 * x^4 + 1/120 * x^5)^n * Exp[-x], {x, 0, Infinity}]; Array[a, 10, 0] (* Stefano Spezia, Nov 27 2018 *) CROSSREFS Row 5 of A322093. Cf. A190833, A322127, A322128. Sequence in context: A129058 A129057 A201508 * A272241 A171939 A104904 Adjacent sequences: A322123 A322124 A322125 * A322127 A322128 A322129 KEYWORD nonn AUTHOR Seiichi Manyama, Nov 27 2018 STATUS approved

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Last modified June 10 14:12 EDT 2023. Contains 363205 sequences. (Running on oeis4.)