The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A109443 Cumulative sum of largest prime power <= n. 0

%I

%S 1,3,6,10,15,20,27,35,44,53,64,75,88,101,114,130,147,164,183,202,221,

%T 240,263,286,311,336,363,390,419,448,479,511,543,575,607,639,676,713,

%U 750,787,828,869,912,955,998

%N Cumulative sum of largest prime power <= n.

%C Integers in this sequence which are themselves primes include a(2) = 3, a(10) = 53, a(14) = 101, a(23) = 263, a(25) = 311, a(29) = 419, a(31) = 479, a(35) = 607, a(40) = 787. Integers in this sequence which are themselves powers greater than 1 of primes include a(7) = 27, a(11) = 64. Integers in this sequence which are perfect powers greater than 1 of composites include a(37) = 676.

%F a(n) = Sum_{i=1..n} A031218(i).

%Y Cf. A031218.

%K easy,nonn

%O 1,2

%A _Jonathan Vos Post_, Aug 26 2005

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 27 00:20 EST 2022. Contains 358362 sequences. (Running on oeis4.)