|
Search: id:A074793
|
|
|
| A074793 |
|
Sum of prime powers less than or equal to n. |
|
+0
1
|
|
| 0, 2, 5, 9, 14, 14, 21, 29, 38, 38, 49, 49, 62, 62, 62, 78, 95, 95, 114, 114, 114, 114, 137, 137, 162, 162, 189, 189, 218, 218, 249, 281, 281, 281, 281, 281, 318, 318, 318, 318, 359, 359, 402, 402, 402, 402, 449, 449, 498, 498, 498, 498, 551, 551, 551, 551, 551
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
Is a(n) asymptotic to c*n^2/log(n) with c=0.55...?
|
|
EXAMPLE
|
a(10)=38 because 2,3,4,5,7,8,9 are the prime powers less than or equal to 10 and 2+3+4+5+7+8+9 = 38
|
|
PROGRAM
|
(PARI) a(n)=sum(k=1, n, k*if(omega(k)-1, 0, 1))
|
|
CROSSREFS
|
Cf. A034387.
Sequence in context: A049753 A126326 A070986 this_sequence A161767 A060139 A025281
Adjacent sequences: A074790 A074791 A074792 this_sequence A074794 A074795 A074796
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 07 2002
|
|
|
Search completed in 0.002 seconds
|
