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 A008740 #43 Sep 08 2022 08:44:36 %S A008740 1,2,3,4,5,7,9,11,13,16,19,22,25,28,32,36,40,44,49,54,59,64,69,75,81, %T A008740 87,93,100,107,114,121,128,136,144,152,160,169,178,187,196,205,215, %U A008740 225,235,245,256,267,278,289,300,312,324,336,348,361,374,387,400,413,427,441,455,469,484 %N A008740 Molien series for 3-dimensional group [2+,n] = 2*(n/2). %H A008740 G. C. Greubel, <a href="/A008740/b008740.txt">Table of n, a(n) for n = 0..1000</a> %H A008740 <a href="/index/Mo#Molien">Index entries for Molien series</a> %H A008740 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,0,0,0,0,0,0,1,-2,1). %F A008740 G.f.: (1+x^5)/((1-x)^2*(1-x^9)). %F A008740 Nearest integer to (n+3)^2/9. [Corrected by _Gerald Hillier_, Dec 24 2017] %F A008740 a(n) = a(n-4) + n. - _Paul Barry_, Jul 14 2004 %F A008740 a(n) = 2*a(n-1) - a(n-2) + a(n-9) - 2*a(n-10) + a(n-11). %F A008740 a(n) = floor((n^2 + 6*n + 12)/9). - _Tani Akinari_, Aug 19 2013 %t A008740 CoefficientList[Series[(1+x^5)/((1-x)^2(1-x^9)),{x,0,70}],x] (* _Harvey P. Dale_, Aug 27 2011 *) %t A008740 Floor[((Range[0,70]+3)^2 + 3)/9] (* _G. C. Greubel_, Aug 03 2019 *) %o A008740 (PARI) vector(70, n, n--; ((n+3)^2+3)\9) \\ _G. C. Greubel_, Aug 03 2019 %o A008740 (Magma) [Floor((n+3)^2+3)/9: n in [0..70]]; // _G. C. Greubel_, Aug 03 2019 %o A008740 (Sage) [floor((n+3)^2+3)/9 for n in (0..70)] # _G. C. Greubel_, Aug 03 2019 %o A008740 (GAP) List([0..70], n-> Int(((n+3)^2+3)/9)); # _G. C. Greubel_, Aug 03 2019 %K A008740 nonn,easy %O A008740 0,2 %A A008740 _N. J. A. Sloane_