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A111219
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d_9(n), tau_9(n), number of ordered factorizations of n as n = rstuvwxyz (9-factorizations).
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1
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1, 9, 9, 45, 9, 81, 9, 165, 45, 81, 9, 405, 9, 81, 81, 495, 9, 405, 9, 405, 81, 81, 9, 1485, 45, 81, 165, 405, 9, 729, 9, 1287, 81, 81, 81, 2025, 9, 81, 81, 1485, 9, 729, 9, 405, 405, 81, 9, 4455, 45, 405, 81, 405, 9, 1485, 81, 1485, 81, 81, 9, 3645, 9, 81, 405, 3003, 81
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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MATHEMATICA
| tau[n_, 1] = 1; tau[n_, k_] := tau[n, k] = Plus @@ (tau[ #, k - 1] & /@ Divisors[n]); Table[ tau[n, 9], {n, 65}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 02 2005)
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PROG
| (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, x, numdiv(x)))))))), ", "))
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CROSSREFS
| Cf. tau_2(n)...tau_6(n): A000005, A007425, A007426, A061200, A034695.
Sequence in context: A003874 A097988 A103646 * A188276 A152752 A095344
Adjacent sequences: A111216 A111217 A111218 * A111220 A111221 A111222
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KEYWORD
| mult,nonn
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AUTHOR
| Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Oct 25 2005
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