A164382 Take sequence A114129, those integers that are factored into prime powers each with a distinct prime exponent. If the largest power of p dividing A114129(n) is p^q(p), p and q being primes, then a(n) = product{p|A114129(n)} q(p)^p.
4, 9, 8, 32, 27, 25, 128, 72, 108, 2048, 243, 49, 8192, 288, 125, 200, 131072, 2187, 524288, 1152, 972, 8388608, 864, 800, 536870912, 675, 2147483648, 18432, 500, 1944, 392, 3456, 177147, 73728, 137438953472, 8748, 3200, 2199023255552
Offset: 1
Keywords
Examples
288 is factored as 2^5 * 3^2. (Since the exponents 5 and 2 are distinct primes, then 288 is in sequence A114129.) The term of this sequence that corresponds to A114129(16) = 288 is then: a(16) = 5^2 * 2^3 = 200. Notably, 200 occurs in sequence A114129, as do all other terms of this sequence.
Crossrefs
Cf. A114129.
Extensions
Extended by Ray Chandler, Mar 15 2010
Comments