login
A061452
n*bigomega(n)^n, where bigomega(n) is the number of prime divisors of n, counted with multiplicity.
2
0, 2, 3, 64, 5, 384, 7, 52488, 4608, 10240, 11, 6377292, 13, 229376, 491520, 68719476736, 17, 6973568802, 19, 69735688020, 44040192, 92274688, 23, 6755399441055744, 838860800, 1744830464, 205891132094649, 640550188738908
OFFSET
1,2
LINKS
FORMULA
a(n) = n*bigomega(n)^n.
EXAMPLE
a(12) = 12*(3^12) = 6377292 because bigomega(12) = 3.
MATHEMATICA
Table[n*PrimeOmega[n]^n, {n, 30}] (* Harvey P. Dale, May 01 2013 *)
PROG
(PARI) for(n=1, 20, print(n*bigomega(n)^n))
(PARI) { for (n=1, 200, write("b061452.txt", n, " ", n*bigomega(n)^n)) } \\ Harry J. Smith, Jul 23 2009
CROSSREFS
Cf. A061340.
Sequence in context: A173915 A293041 A284755 * A369903 A280582 A037426
KEYWORD
easy,nonn
AUTHOR
Jason Earls, Jun 15 2001
EXTENSIONS
Terms corrected by Harry J. Smith, Jul 23 2009
STATUS
approved