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A082236
a(1) = 1 and then numbers such that the product of n terms starting with the n-th term is an n-th power. The smallest numbers not occurring earlier are used first.
1
1, 2, 8, 3, 9, 4, 12, 5, 360000, 6, 90, 7, 28235760, 10, 504, 11, 450153650100, 13, 17637403357173600000, 14, 25740, 15, 360360, 16, 215255040, 17, 33593154183197105261619254400, 18, 16278356694600, 19
OFFSET
1,2
EXAMPLE
as a(3) = 8 choose a(4) = 3 ( smallest number not occurring earlier) and a(5) = 9 to satisfy the requirement. The product of three terms starting with a(3) is 8*3*9 = 216 = 6^3.
CROSSREFS
Cf. A082237.
Sequence in context: A111445 A076696 A011057 * A337822 A362269 A262027
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Apr 10 2003
EXTENSIONS
Corrected and extended by David Wasserman, Aug 26 2004
STATUS
approved