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 A327600 #19 Sep 29 2019 11:34:54 %S A327600 2,8,26,65,143,252,423,650,976,1391,1865,2478,3168,3980,4977,6136, %T A327600 7419,8828,10476,12278,14294,16612,19123,21905,24903,28055,31493, %U A327600 35319,39485,44101,49115,54102,59467,65142,71314,77648,84503,91719,99302,107364 %N A327600 a(n) is the largest k such that the sum of k consecutive reciprocals 1/p_n + ... + 1/p_(n+k-1) does not exceed 1 (where p_n = n-th prime). %C A327600 The sequence is nondecreasing, since 1/p_n + ... + 1/p_(n+k-1) > 1/p_(n+1) + ... + 1/p_(n+k). %F A327600 a(n) = A137368(n) - 1. %e A327600 For n = 1, since 1/p_1 + 1/p_2 = 1/2 + 1/3 = 5/6 <= 1 while 1/p_1 + 1/p_2 + 1/p_3 = 1/2 + 1/3 + 1/5 = 31/30 > 1, a(1) = 2. %Y A327600 Analog of A136617. Cf. A137368. %K A327600 nonn %O A327600 1,1 %A A327600 _Leon Bykov_, Sep 18 2019