A112537 If b(n) is the smallest positive integer and c(n) is the largest positive integer such that n = b(n)^c(n), then a(n) = b(n)^c(n+1).

1, 2, 9, 2, 5, 6, 343, 4, 3, 10, 11, 12, 13, 14, 50625, 2, 17, 18, 19, 20, 21, 22, 23, 576, 5, 17576, 3, 28, 29, 30, 28629151, 2, 33, 34, 1225, 6, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 2304, 7, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 62523502209, 2, 65, 66

Offset: 1

Author

Leroy Quet, Dec 14 2005

Keywords

• nonn

Examples

			b(7) = 7, since 7 = 7^1. And c(8) = 3, since 8 = 2^3.
So a(7) = 7^3 = 343.
		

Crossrefs

Cf. A052409, A052410.

Formula

a(n) = A052410(n)^A052409(n+1).

Extensions

Extended by Ray Chandler, Dec 25 2005