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

Author

Reinhard Zumkeller, May 15 2006

Keywords

• nonn

Comments

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

Examples

			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.