|
Search: id:A087321
|
|
|
| A087321 |
|
Smallest multiple of n which is a perfect power (at least a square) of a square-free number. |
|
+0
2
|
|
| 1, 4, 9, 4, 25, 36, 49, 8, 9, 100, 121, 36, 169, 196, 225, 16, 289, 36, 361, 100, 441, 484, 529, 216, 25, 676, 27, 196, 841, 900, 961, 32, 1089, 1156, 1225, 36, 1369, 1444, 1521, 1000, 1681, 1764, 1849, 484, 225, 2116, 2209, 1296, 49, 100, 2601, 676, 2809, 216
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
If n = p^a*q^b*r^c... p, q, r are primes and max(a, b, c, ...) = K then a(n) = p^K*q^K*r^K...
a(n) = A007947(n)^max(A051903(n), 2). - David Wasserman (wasserma(AT)spawar.navy.mil), May 04 2005
|
|
EXAMPLE
|
a(12) = 36 = 6^2. a(24) = 216.
|
|
CROSSREFS
|
Cf. A087320.
Sequence in context: A005063 A078615 A087320 this_sequence A053143 A068238 A087369
Adjacent sequences: A087318 A087319 A087320 this_sequence A087322 A087323 A087324
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 03 2003
|
|
EXTENSIONS
|
More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 04 2005
|
|
|
Search completed in 0.002 seconds
|
