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 A183137 #30 Jul 29 2025 16:01:41
%S A183137 0,0,1,2,3,5,7,10,13,16,20,24,28,33,38,44,50,56,63,70,78,86,94,103,
%T A183137 112,121,131,141,152,163,174,186,198,210,223,236,250,264,278,293,308,
%U A183137 324,340,356,373,390,407,425,443,462,481,500,520,540,561,582,603,625
%N A183137 a(n) = [1/s] + [2/s] + ... + [n/s], where s = (golden ratio)^2 = (3+sqrt(5))/2 and [] = floor.
%C A183137 A183136(n) + a(n) = A000217(n+1) (the triangular numbers).
%H A183137 Johan Kok, <a href="https://arxiv.org/abs/2507.16500">Integer sequences with conjectured relation with certain graph parameters of the family of linear Jaco graphs</a>, arXiv:2507.16500 [math.CO], 2025. See p. 4.
%F A183137 a(n+1) = a(n) + n - A005206(n). - _John Furey_, Jun 03 2015
%e A183137 a(7) = 7 = 0+0+1+1+1+2+2.
%t A183137 Accumulate[With[{c=GoldenRatio^2},Floor[Range[60]/c]]] (* _Harvey P. Dale_, Apr 20 2011 *)
%Y A183137 Cf. A001622, A104457, A183136, A000217, A005206, A060143, A060144.
%K A183137 nonn
%O A183137 1,4
%A A183137 _Clark Kimberling_, Dec 26 2010