OFFSET
0,2
COMMENTS
The sequence approximates the average number of divisors over all integers between consecutive primes.
EXAMPLE
The 9th prime is 23 and the 10th prime is 29. So a(9) = floor((d(24) + d(25) + d(26) + d(27) + d(28) + d(29))/6) = floor((8 + 3 + 4 + 4 + 6 + 2)/6) = floor(27/6) = 4.
MAPLE
A139141 := proc(n) if n = 0 then 1; else add(numtheory[tau](k), k=ithprime(n)+1..ithprime(n+1)) ; floor(%/(ithprime(n+1)-ithprime(n))) ; fi; end proc: seq(A139141(n), n=0..120) ; # R. J. Mathar, Oct 24 2009
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Apr 10 2008
EXTENSIONS
Extended beyond a(11) by R. J. Mathar, Oct 24 2009
STATUS
approved