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A111218 d_8(n), tau_8(n), number of ordered factorizations of n as n = rstuvwxy (8-factorizations). 2
1, 8, 8, 36, 8, 64, 8, 120, 36, 64, 8, 288, 8, 64, 64, 330, 8, 288, 8, 288, 64, 64, 8, 960, 36, 64, 120, 288, 8, 512, 8, 792, 64, 64, 64, 1296, 8, 64, 64, 960, 8, 512, 8, 288, 288, 64, 8, 2640, 36, 288, 64, 288, 8, 960, 64, 960, 64, 64, 8, 2304, 8, 64, 288, 1716, 64, 512, 8 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

MATHEMATICA

tau[n_, 1] = 1; tau[n_, k_] := tau[n, k] = Plus @@ (tau[ #, k - 1] & /@ Divisors[n]); Table[ tau[n, 8], {n, 67}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 02 2005)

PROG

(PARI) for(n=1, 100, print1(sumdiv(n, i, sumdiv(i, j, sumdiv(j, k, sumdiv(k, l, sumdiv(l, m, sumdiv(m, x, numdiv(x))))))), ", "))

CROSSREFS

Sequence in context: A053596 A141384 A183400 * A188275 A103744 A151782

Adjacent sequences:  A111215 A111216 A111217 * A111219 A111220 A111221

KEYWORD

mult,nonn

AUTHOR

Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Oct 25 2005

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Last modified February 17 09:30 EST 2012. Contains 206009 sequences.