A076745 a(n) = the least positive integer k such that b(k) = n, where b(k) (A076526) is defined by b(k) = r * max{e_1,...,e_r} if k = p_1^e_1 *...* p_r^e_r is the canonical prime factorization of k.

2, 4, 8, 12, 32, 24, 128, 48, 120, 96, 2048, 192, 8192, 384, 480, 768

Offset

1,1

Links

Table of n, a(n) for n=1..16.

C. Rivera, Puzzle 201: The Arithmetic Function A(n)

Example

a(12) = 2 * max{1,2} = 4 since 12 = 2^2 * 3^1 and 12 is the least k for which b(k) = 4. Hence a(4) = 12.

Crossrefs

Cf. A076526.

Sequence in context: A204088 A187941 A085083 * A007374 A105207 A202148

Adjacent sequences: A076742 A076743 A076744 * A076746 A076747 A076748

Keyword

nonn

Author

Joseph L. Pe, Nov 11 2002

Status

approved