%I A158924
%S A158924 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,
%T A158924 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,
%U A158924 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
%V A158924 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,
%W A158924 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,
%X A158924 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
%N 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.
%C A158924 The first interval is assumed to be (1, A158923(1)].
%H A158924 Daniel Forgues, <a href="b158924.txt">Table of n, a(n) for n=1..9696</
               a>
%Y A158924 Cf. A158923 a(1) = 2, a(n) = a(n-1) + rnd(ln(a(n-1))), n >= 2, for which 
               each (a(n-1), a(n)] interval asymptotically contains one prime power 
               on average.
%Y A158924 Cf. A158925 Accumulated excess or deficit of prime powers in (1, A158924(n)], 
               (Partial sums of A158924). [From Daniel Forgues (squid(AT)zensearch.com), 
               Apr 21 2009]
%Y A158924 Contribution from Daniel Forgues (squid(AT)zensearch.com), May 08 2009: 
               (Start)
%Y A158924 Cf. A000961 Prime powers p^k (p prime, k >= 0).
%Y A158924 Cf. A025528 Number of prime powers <= n with exponents >0. (End)
%Y A158924 Sequence in context: A154469 A022902 A037273 this_sequence A025426 A053200 
               A050870
%Y A158924 Adjacent sequences: A158921 A158922 A158923 this_sequence A158925 A158926 
               A158927
%K A158924 sign
%O A158924 1,37
%A A158924 Daniel Forgues (squid(AT)zensearch.com), Mar 31 2009
%E A158924 Corrected and edited by Daniel Forgues (squid(AT)zensearch.com), Apr 
               21 2009