|
Search: id:A109712
|
|
|
| A109712 |
|
UnitarySigmaUnitaryPhi(n) or USUP(n). |
|
+0
1
|
|
| 1, 3, 2, 5, 4, 6, 6, 9, 8, 12, 10, 10, 12, 18, 8, 17, 16, 24, 18, 20
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
USUP(n) is defined as follows. If n=Product p_i^r_i then USUP(n)= UnitarySigma(2^r_1)*UnitaryPhi(n/2^r_1) = (2^r_1+1)*Product(p_i^r_i-1), 2<p_i. So USUP(n) = UnitarySigma(n) if n=2^r = UnitaryPhi(n) if GCD(2,n)=1
|
|
EXAMPLE
|
USUP(2^4*7^2)=UnitarySigma(2^4)*UnitaryPhi(7^2)=17*48= 816
|
|
CROSSREFS
|
Cf. A092760.
Sequence in context: A075491 A089279 A049820 this_sequence A095049 A118209 A109451
Adjacent sequences: A109709 A109710 A109711 this_sequence A109713 A109714 A109715
|
|
KEYWORD
|
nonn,mult
|
|
AUTHOR
|
Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp), Aug 08 2005
|
|
|
Search completed in 0.002 seconds
|
