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 A238815 Number of prime powers p^k (k >= 0) (A000961) <= 10^n. 1
 1, 8, 36, 194, 1281, 9701, 78735, 665135, 5762860, 50851224, 455062596, 4118082970, 37607992089, 346065767407, 3204942420924, 29844572385359, 279238346816393, 2623557174778439, 24739954338671300, 234057667428388199, 2220819603016308080, 21127269487386615272 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA a(n) = A076048(n) + A006880(n). a(n) ~ 10^n/(n log 10). - Charles R Greathouse IV, Mar 05 2014 For n > 0, a(n) = A267712(n) + 1. - Jon E. Schoenfield, Apr 19 2018 MATHEMATICA f[n_] := Block[{k = t = 1}, While[s = PrimePi[ 10^(n/k)]; s != 0, t = t + s; k++]; t]; Array[f, 15, 0] PROG (PARI) a(n)=sum(k=2, 10^n, isprimepower(k)>0)+1 \\ Charles R Greathouse IV, Mar 05 2014 (PARI) a(n)=sum(e=1, n*log(10)\log(2), primepi(sqrtnint(10^n, e)))+1 \\ Charles R Greathouse IV, Mar 05 2014 CROSSREFS Cf. A006880, A076048, A267712. Sequence in context: A054627 A019022 A079819 * A290357 A030112 A001555 Adjacent sequences:  A238812 A238813 A238814 * A238816 A238817 A238818 KEYWORD nonn AUTHOR Robert G. Wilson v, Mar 05 2014 EXTENSIONS a(15)-a(21) from Charles R Greathouse IV, Mar 05 2014 STATUS approved

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Last modified January 28 00:32 EST 2020. Contains 331313 sequences. (Running on oeis4.)