|
|
A158924
|
|
Number of prime powers - 1 in interval (A158923(n-1), A158923(n)] expressing the excess or deficit relative to the asymptotic average of 1.
|
|
3
|
|
|
0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, 1, 0, -1, 0, 2, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 1, -1, -1, 0, -1, 0, 1, 0, 0, 1, -1, 0, 1, 0, 1, 0, 1, 0, 0, -1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 1, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,37
|
|
COMMENTS
|
The first interval is assumed to be (1, A158923(1)].
|
|
LINKS
|
|
|
CROSSREFS
|
Cf. A158923: a(1) = 2, a(n) = a(n-1) + round(log(a(n-1))), n >= 2, for which each (a(n-1), a(n)] interval asymptotically contains one prime power on average.
Cf. A000961 Prime powers p^k (p prime, k >= 0).
Cf. A025528 Number of prime powers <= n with exponents >0.
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|