This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A174648 #5 Sep 30 2023 16:38:37 %S A174648 1,3,6,11,17,24,32,42,53,66,80,95,111,128,147,168,190,213,237,263,290, %T A174648 319,349,380,413,447,482,519,557,596,636,677,719,762,808,855,903,954, %U A174648 1007,1061,1116,1172,1229,1287,1346,1407,1469,1534,1600,1667,1736,1806 %N A174648 Partial sums of A000452. %C A174648 Partial sums of sequence starting with a(1) = 1 and for which a(n) is smallest number which avoids any 3-term G.P. (geometric progression). The subsequence of primes in this partial sum begins: 3, 11, 17, 53, 263, 349, 557, 677, 719, 1061, 1229, 1667, 1877, 2179, 3019, 3203. The subsequence of squares begins: 1, 1600. subsequence of powers of 2 begins: 1, 32, 128. %F A174648 a(n) = Sum_{i=1..n} A000452(i). %e A174648 a(9) = 1 + 2 + 3 + 5 + 6 + 7 + 8 + 10 + 11 = 53 is prime. %Y A174648 Cf. A000452. %K A174648 nonn %O A174648 1,2 %A A174648 _Jonathan Vos Post_, Mar 25 2010