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 A284605 The number of partitions of n! into factorials. 11
 1, 1, 2, 5, 36, 1477, 480733, 1626159677, 71503454739706, 49130011692806196131, 616983581832732519940145403 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(n) = A064986(n!). MAPLE A064986 := proc(n)     local x, d, g ;     g := 1;     for i from 1 do         g := g/(1-x^(i!)) ;         g := taylor(g, x=0, n+1) ;         if i! > n then             break ;         end if;     end do:     return coeftayl(%, x=0, n) ; end proc: for n from 0 do     print(n, A064986(n!)) ; end do: MATHEMATICA A064986[n_] := Module[{x, d, g = 1}, For[i = 1, True, i++, g = g/(1 - x^(i!)); g = Series[g, {x, 0, n+1}]; If[i! > n, Break[]]]; Return[ SeriesCoefficient[g, {x, 0, n}]]]; For[n = 0, n <= 7, n++, Print[n, " ", A064986[n!]]] (* Jean-François Alcover, Mar 19 2020, from Maple *) CROSSREFS Cf. A064986. Sequence in context: A317801 A111491 A331402 * A106129 A163499 A086218 Adjacent sequences:  A284602 A284603 A284604 * A284606 A284607 A284608 KEYWORD nonn,more AUTHOR R. J. Mathar, Mar 30 2017 EXTENSIONS a(8)-a(10) from Alois P. Heinz, Mar 30 2017 STATUS approved

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Last modified April 18 13:46 EDT 2021. Contains 343088 sequences. (Running on oeis4.)