|
| |
|
|
A154928
|
|
Decimal expansion of sum_{q in A001358} log(q)/q^2 over the semiprimes q = 4,6,9,...
|
|
1
|
|
|
|
2, 8, 3, 6, 0, 6, 8, 1, 5, 4, 0, 7, 9, 8, 0, 6, 5, 2, 2, 2, 4, 2, 5, 8, 2, 2, 2, 5, 4, 8, 2, 7, 8, 3, 3, 6, 0, 7, 9, 3, 5, 0, 5, 7, 8, 2, 3, 7, 8, 1, 4, 0, 1, 3, 4, 1, 1, 1, 1
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
COMMENTS
|
Semiprime analog of A136271. The absolute value of the first derivative of the semiprime zeta function at 2.
|
|
|
LINKS
|
Table of n, a(n) for n=0..58.
R. J. Mathar, Series of reciprocal powers of k-almost primes, arXiv:0803.0900 [math.NT], Table 4.
|
|
|
FORMULA
|
Equals sum_{i=1,2,..,infinity} log(A001358(i))/A074985(i) .
|
|
|
EXAMPLE
|
Equals 0.283606815... = log(4)/16+log(6)/36+log(9)/81+....
|
|
|
CROSSREFS
|
Sequence in context: A011431 A173823 A222296 * A201394 A169844 A076123
Adjacent sequences: A154925 A154926 A154927 * A154929 A154930 A154931
|
|
|
KEYWORD
|
cons,nonn
|
|
|
AUTHOR
|
R. J. Mathar, Jan 17 2009
|
|
|
STATUS
|
approved
|
| |
|
|