|
| |
|
|
A112622
|
|
If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = product_{p|n} b(p,n)^b(p,n).
|
|
0
| |
|
|
1, 1, 1, 4, 1, 1, 1, 27, 4, 1, 1, 4, 1, 1, 1, 256, 1, 4, 1, 4, 1, 1, 1, 27, 4, 1, 27, 4, 1, 1, 1, 3125, 1, 1, 1, 16, 1, 1, 1, 27, 1, 1, 1, 4, 4, 1, 1, 256, 4, 4, 1, 4, 1, 27, 1, 27, 1, 1, 1, 4, 1, 1, 4, 46656, 1, 1, 1, 4, 1, 1, 1, 108, 1, 1, 4, 4, 1, 1, 1, 256, 256, 1, 1, 4, 1, 1, 1, 27, 1, 4, 1, 4
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 2,4
|
|
|
EXAMPLE
| 45 = 3^2 * 5^1. So a(45) = 2^2 * 1^1 = 4.
|
|
|
MATHEMATICA
| f[n_] := Block[{fi = Last@Transpose@FactorInteger@n}, Times @@ (fi^fi)]; Rest@Array[f, 93] (* Robert G. Wilson v *)
|
|
|
PROG
| (PARI) a(n)=local(v, r, i); v=factorint(n); r=1; for(i=1, matsize(v)[1], r*=v[i, 2]^v[i, 2]); r (Herrgesell)
|
|
|
CROSSREFS
| Sequence in context: A063851 A124777 A203639 * A183104 A183102 A178649
Adjacent sequences: A112619 A112620 A112621 * A112623 A112624 A112625
|
|
|
KEYWORD
| nonn,mult
|
|
|
AUTHOR
| Leroy Quet Dec 25 2005
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Lambert Herrgesell (zero815(AT)googlemail.com), Dec 27 2005
|
| |
|
|
