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 A299286 #9 Feb 12 2018 12:34:55 %S A299286 1,11,44,117,245,444,729,1117,1623,2263,3052,4007,5143,6476,8021,9795, %T A299286 11813,14091,16644,19489,22641,26116,29929,34097,38635,43559,48884, %U A299286 54627,60803,67428,74517,82087,90153,98731,107836,117485,127693,138476,149849 %N A299286 Partial sums of A299285. %F A299286 Conjectures from _Colin Barker_, Feb 11 2018: (Start) %F A299286 G.f.: (1 + 8*x + 14*x^2 + 17*x^3 + 14*x^4 + 8*x^5 + x^6) / ((1 - x)^4*(1 + x)*(1 + x^2)). %F A299286 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) + a(n-4) - 3*a(n-5) + 3*a(n-6) - a(n-7) for n>6. %F A299286 (End) %Y A299286 Cf. A299285. %Y A299286 The 28 uniform 3D tilings: cab: A299266, A299267; crs: A299268, A299269; fcu: A005901, A005902; fee: A299259, A299265; flu-e: A299272, A299273; fst: A299258, A299264; hal: A299274, A299275; hcp: A007899, A007202; hex: A005897, A005898; kag: A299256, A299262; lta: A008137, A299276; pcu: A005899, A001845; pcu-i: A299277, A299278; reo: A299279, A299280; reo-e: A299281, A299282; rho: A008137, A299276; sod: A005893, A005894; sve: A299255, A299261; svh: A299283, A299284; svj: A299254, A299260; svk: A010001, A063489; tca: A299285, A299286; tcd: A299287, A299288; tfs: A005899, A001845; tsi: A299289, A299290; ttw: A299257, A299263; ubt: A299291, A299292; bnn: A007899, A007202. See the Proserpio link in A299266 for overview. %K A299286 nonn %O A299286 0,2 %A A299286 _N. J. A. Sloane_, Feb 10 2018