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 A056183 #2 Mar 30 2012 17:30:25 %S A056183 1,2,4,8,16,31,56,96,158,253,393,594,878,1271,1806,2523,3472,4711, %T A056183 6312,8359,10949,14199,18243,23237,29360,36816,45841,56698,69689, %U A056183 85152,103467,125060,150406,180034,214529,254542,300788,354056,415215,485213 %N A056183 Sum of a(n) terms of 1/k^(6/7) first exceeds n. %e A056183 For example, a(4) = 16 since Sum_{k=1..16} 1/k^(6/7) = 4.014698427... > 4, whereas Sum_{k=1..15} 1/k^(6/7) = 3.921823784... < 4. %t A056183 s = 0; k = 1; Do[ While[ s <= n, s = s + N[ 1/k^(7/8), 24 ]; k++ ]; Print[ k - 1 ], {n, 1, 40} ] %Y A056183 Cf. A019529 and A002387. %K A056183 nonn %O A056183 0,2 %A A056183 _Robert G. Wilson v_, Aug 01 2000