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A123074 Number of ordered triples of primes (p,q,r) such that pqr = n. +0
2
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 1, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 0, 3, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 6, 0, 0, 6 (list; graph; listen)
OFFSET

1,12

COMMENT

a(p^3) = 1, a(p^2 q) = 3, a(pqr) = 6, otherwise a(n) = 0.

MATHEMATICA

Join[{0}, Table[e=Sort[Transpose[FactorInteger[n]][[2]]]; Which[e=={3}, 1, e=={1, 2}, 3, e=={1, 1, 1}, 6, True, 0], {n, 2, 150}]] - T. D. Noe (noe(AT)sspectra.com), Sep 29 2006

CROSSREFS

Cf. A123073, A014612.

Sequence in context: A059484 A035678 A094518 this_sequence A095269 A111417 A007271

Adjacent sequences: A123071 A123072 A123073 this_sequence A123075 A123076 A123077

KEYWORD

nonn

AUTHOR

njas and T. D. Noe, Sep 29 2006

EXTENSIONS

More terms from T. D. Noe (noe(AT)sspectra.com), Sep 29 2006

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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