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A117926
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n^floor(sqrt(n)).
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0
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1, 2, 3, 16, 25, 36, 49, 64, 729, 1000, 1331, 1728, 2197, 2744, 3375, 65536, 83521, 104976, 130321, 160000, 194481, 234256, 279841, 331776, 9765625, 11881376, 14348907, 17210368, 20511149, 24300000, 28629151, 33554432, 39135393
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(n) = n^(the integer part of the geometric mean of the divisors of n). a(n) = n^[Card(k, 0<k<=n such that k is relatively prime to core(k)) where core(x) is the squarefree part of x]. a(n) = n^[Number of numbers k <=n with an odd number of divisors].
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FORMULA
| a(n) = n^floor(sqrt(n)) = n^floor(n^(1/2)) = n^A000196(n).
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CROSSREFS
| Cf. A000196.
Sequence in context: A045877 A100643 A067037 * A185251 A092503 A147662
Adjacent sequences: A117923 A117924 A117925 * A117927 A117928 A117929
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), May 03 2006
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