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 A326711 #9 Dec 06 2024 06:56:37 %S A326711 3,5,8,11,12,16,18,18,21,25,29,27,28,36,35,35,41,42,42,47,51,52,49,52, %T A326711 56,59,61,67,68,69,72,72,76,80,78,79,89,86,82,92,94,92,101,100,99,102, %U A326711 101,109,108,114,115,114,114,120,125 %N A326711 The number of terms in the greedy Egyptian fraction expansion of 1 = 1/n + 1/(n+1) + 1/(n+2) + ... + 1/A069257(n). %e A326711 a(3) = 5 since the expansion 1 = 1/3 + 1/4 + 1/5 + 1/6 + 1/20 has 5 terms. %t A326711 a[n_] := Module[{c = 1, s = 1/n, k = n}, While[s < 1, k = Max[k + 1, Ceiling[1/(1 - s)]]; s += 1/k; c++]; c]; Array[a, 20, 2] %Y A326711 Cf. A069257. %K A326711 nonn %O A326711 2,1 %A A326711 _Amiram Eldar_, Oct 18 2019