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A111221 d_11(n), tau_11(n), number of ordered factorizations of n as n = rstuvwxyzab (11-factorizations). +0
3
1, 11, 11, 66, 11, 121, 11, 286, 66, 121, 11, 726, 11, 121, 121, 1001, 11, 726, 11, 726, 121, 121, 11, 3146, 66, 121, 286, 726, 11, 1331, 11, 3003, 121, 121, 121, 4356, 11, 121, 121, 3146, 11, 1331, 11, 726, 726, 121, 11, 11011, 66, 726, 121, 726, 11, 3146, 121 (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, 11], {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, q, sumdiv(q, x, numdiv(x)))))))))), ", "))

CROSSREFS

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

Sequence in context: A077699 A003876 A014461 this_sequence A088761 A062128 A099630

Adjacent sequences: A111218 A111219 A111220 this_sequence A111222 A111223 A111224

KEYWORD

mult,nonn

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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