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 A293025 E.g.f.: exp(exp(x) - Sum_{i=0..5} x^i/i!). 2
 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 463, 1717, 4720, 11441, 25884, 56135, 2977313, 23524737, 125212889, 552517341, 2183244857, 8025931950, 124257251233, 1468856487536, 12433365625566, 85767520652726, 518324768774506, 2858925345803536, 26181976719735061 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 COMMENTS a(n) is the number of set partitions of [n] into blocks of size > 5. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..595 FORMULA E.g.f.: Product_{i>5} exp(x^i/i!). MAPLE a:= proc(n) option remember; `if`(n=0, 1, add(       a(n-j)*binomial(n-1, j-1), j=6..n))     end: seq(a(n), n=0..35);  # Alois P. Heinz, Sep 28 2017 MATHEMATICA m = 31; Exp[Exp[x] - Sum[x^i/i!, {i, 0, 5}]] + O[x]^m // CoefficientList[#, x]& // (# Range[0, m-1]!)& (* Jean-François Alcover, Mar 08 2021 *) PROG (PARI) my(x='x+O('x^66)); Vec(serlaplace(exp(exp(x)-1-x-x^2/2-x^3/6-x^4/24-x^5/120))) CROSSREFS Column k=5 of A293024. Sequence in context: A343542 A142282 A270760 * A108834 A233310 A220716 Adjacent sequences:  A293022 A293023 A293024 * A293026 A293027 A293028 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 28 2017 STATUS approved

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Last modified May 18 19:58 EDT 2021. Contains 344002 sequences. (Running on oeis4.)