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A111220 d_10(n), tau_10(n), number of ordered factorizations of n as n = rstuvwxyza (10-factorizations). +0
2
1, 10, 10, 55, 10, 100, 10, 220, 55, 100, 10, 550, 10, 100, 100, 715, 10, 550, 10, 550, 100, 100, 10, 2200, 55, 100, 220, 550, 10, 1000, 10, 2002, 100, 100, 100, 3025, 10, 100, 100, 2200, 10, 1000, 10, 550, 550, 100, 10, 7150, 55, 550, 100, 550, 10, 2200, 100 (list; graph; listen)
OFFSET

1,2

MATHEMATICA

tau[n_, 1] = 1; tau[n_, k_] := tau[n, k] = Plus @@ (tau[ #, k - 1] & /@ Divisors[n]); Table[ tau[n, 10], {n, 55}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 02 2005)

PROGRAM

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

CROSSREFS

Cf. tau_2(n)...tau_6(n): A000005, A007425, A007426, A061200, A034695.

Sequence in context: A076817 A109051 A003875 this_sequence A106789 A056483 A056473

Adjacent sequences: A111217 A111218 A111219 this_sequence A111221 A111222 A111223

KEYWORD

mult,nonn

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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