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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

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 November 12 17:06 EST 2019. Contains 329058 sequences. (Running on oeis4.)