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 A260620 Arithmetic derivative of superfactorial(n). 2
 0, 0, 1, 16, 912, 179712, 200724480, 1389079756800, 78810485096448000, 38096713995308236800000, 177372596340389981454336000000, 8666143442523657424202209689600000000, 5080543621153782266150614213475696640000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..43 FORMULA a(n) = A003415(A000178(n)). MAPLE b:= proc(n) option remember; `if`(n<2, 0,        b(n-1)*n + n!*add(i[2]/i[1], i=ifactors(n)[2]))     end: s:= proc(n) option remember; `if`(n=0, 1, n!*s(n-1)) end: a:= proc(n) option remember; `if`(n=0, 0,        b(n)*s(n-1)+n!*a(n-1))     end: seq(a(n), n=0..15);  # Alois P. Heinz, Sep 18 2015 MATHEMATICA a[n_] := If[n<2, 0, With[{g = BarnesG[n+2]}, g Sum[{p, e} = pe; e/p, {pe, FactorInteger[g]}]]]; a /@ Range[0, 15] (* Jean-François Alcover, Nov 14 2020 *) CROSSREFS Cf. A003415, A000178, A068311. Sequence in context: A283946 A289707 A006089 * A290940 A173953 A211105 Adjacent sequences:  A260617 A260618 A260619 * A260621 A260622 A260623 KEYWORD nonn AUTHOR Matthew Campbell, Sep 18 2015 EXTENSIONS More terms from Alois P. Heinz, Sep 18 2015 STATUS approved

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Last modified January 19 08:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)