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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

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