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A119318 n-th divisor of A119311(n), the smallest number such that the n-th divisor is a prime power. 2
1, 2, 4, 8, 16, 8, 27, 16, 27, 32, 27, 64, 27, 128, 32, 256, 81, 128, 64, 1024, 256, 128, 128, 512, 243, 256, 256, 128, 128, 512, 512, 128, 256, 128, 256, 243, 343, 729, 729, 512, 512, 256, 4096, 729, 1024, 729, 1024, 512, 256, 512, 729, 2048, 256, 1024, 1024 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Not all terms are powers of 2 or of 3, see example.

EXAMPLE

n=37: the set of divisors of A119311(37) = 41160 has

tau(41160) = 64 elements: {1,2,3,4,5,6,7,8,10,12,14,15,20,

21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,

196,210,245,280,294,[[343]],392,420,490,588,686, ...},

the 37-th divisor of 41160 = a(37) = 343 = 7^3.

CROSSREFS

Cf. A119317, A119319.

Sequence in context: A016018 A070336 A053026 * A082953 A009289 A070335

Adjacent sequences:  A119315 A119316 A119317 * A119319 A119320 A119321

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 15 2006

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Last modified February 14 05:09 EST 2012. Contains 205570 sequences.