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 A300076 #10 Oct 13 2022 13:53:12
%S A300076 0,1,1,2,2,2,3,4,4,5,5,5,6,7,7,8,8,8,9,10,10,11,11,11,12,13,13,14,14,
%T A300076 14,15,16,16,17,17,17,18,19,19,20,20,20,21,22,22,23,23,23,24,25,25,26,
%U A300076 26,26,27,28,28,29,29,29,30,31,31,32,32,32,33,34,34,35,35,35,36,37,37,38,38,38,39,40,40,41,41,41,42,43,43,44,44,44
%N A300076 A sequence based on the period 6 sequence A300075.
%C A300076 If 1 is added to each entry and the offset is set to 1 then the resulting sequence can be used to obtain integers in the quadratic number field Q(sqrt(3)) for the two components of the vertices V0_{-k}, as well as V3_{-k}, for k >= 1, of a k-family of ascending regular hexagons. Their centers 0{-k} form part of a discrete hexagon spiral.
%H A300076 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,1,-1).
%F A300076 a(n) = A300075(n) + 3*floor(n/6), n >= 0.
%F A300076 a(n) = A300293(n-1) + 1, n >= 1.
%F A300076 G.f.: x*(1 + x^2 + x^5)/((1 - x^6)*(1 - x)) = G(x) + 3*x^6/((1-x)*(1-x^6)), with the g.f. G(x) of A300075.
%Y A300076 Cf. A300068, A174257, A300075, A300293.
%K A300076 nonn,easy
%O A300076 0,4
%A A300076 _Wolfdieter Lang_, Mar 03 2018