1,2

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 square-free part of x]. a(n) = n^[Number of numbers k <=n with an odd number of divisors].

a(n) = n^floor(sqrt(n)) = n^floor(n^(1/2)) = n^A000196(n).

Cf. A000196.

Sequence in context: A045877 A100643 A067037 this_sequence A092503 A074182 A074759

Adjacent sequences: A117923 A117924 A117925 this_sequence A117927 A117928 A117929

easy,nonn

Jonathan Vos Post (jvospost3(AT)gmail.com), May 03 2006