|
| |
|
|
A066959
|
|
Bigomega(n^n) where bigomega(x) is the number of prime factors in x (counted with multiplicity).
|
|
1
| |
|
|
0, 2, 3, 8, 5, 12, 7, 24, 18, 20, 11, 36, 13, 28, 30, 64, 17, 54, 19, 60, 42, 44, 23, 96, 50, 52, 81, 84, 29, 90, 31, 160, 66, 68, 70, 144, 37, 76, 78, 160, 41, 126, 43, 132, 135, 92, 47, 240, 98, 150, 102, 156, 53, 216, 110, 224, 114, 116, 59, 240, 61, 124, 189, 384
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
|
|
|
FORMULA
| a(n) = n*bigomega(n). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 24 2004
Defined by a(p) = p for p prime and a(mn) = a(m)*n + m*a(n). An analogous sequence with a(p) = 1 is A003415. - David W. Wilson, Mar 02 2011
|
|
|
MATHEMATICA
| Array[Plus@@Last/@FactorInteger[ #^# ]&, 5! ] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 10 2009]
|
|
|
PROG
| (PARI) { for (n=1, 1000, write("b066959.txt", n, " ", bigomega(n^n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 11 2010]
|
|
|
CROSSREFS
| Cf. A001222.
Sequence in context: A126139 A060872 A162775 * A086471 A097505 A095168
Adjacent sequences: A066956 A066957 A066958 * A066960 A066961 A066962
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 01 2002
|
| |
|
|
