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 A331930 #7 Feb 02 2020 09:02:48 %S A331930 8,16,33,63,118,216,395,715,1281,2279,4036,7102,12441,21722,37797, %T A331930 65558,113422,195759,337148,579465,994194,1703072,2912869,4975222, %U A331930 8486672,14459492,24608418,41837580,71060409,120585504,204452804,346372172,586359050,991915208 %N A331930 a(n) is the smallest composite k such that Sum_{composites j = 4, ..., k} 1/j exceeds n/2. %C A331930 Lim_{n->infinity} a(n+1)/a(n) = sqrt(e). %F A331930 a(2n) = A076751(n). %e A331930 a(1) = 1 because 1/4 + 1/6 = 0.41666... < 1/2 but 1/4 + 1/6 + 1/8 = 0.54166... > 1/2. %Y A331930 Cf. A016088 (sum of reciprocals of primes exceeds n), A076751 (sum of reciprocals of composites exceeds n), A103592 (sum of reciprocals of primes exceeds n/2). %Y A331930 Cf. A019774 (sqrt(e)). %K A331930 nonn %O A331930 1,1 %A A331930 _Jon E. Schoenfield_, Feb 01 2020