A119318 n-th divisor of A119311(n), the smallest number such that the n-th divisor is a prime power.

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..55.

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

Crossrefs

Cf. A119317, A119319.

Sequence in context: A070336 A348433 A053026 * A082953 A009289 A070335

Adjacent sequences: A119315 A119316 A119317 * A119319 A119320 A119321

Keyword

nonn

Author

Reinhard Zumkeller, May 15 2006

Status

approved