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 A017223 #18 Jan 06 2023 05:35:51 %S A017223 125,2744,12167,32768,68921,125000,205379,314432,456533,636056,857375, %T A017223 1124864,1442897,1815848,2248091,2744000,3307949,3944312,4657463, %U A017223 5451776,6331625,7301384,8365427 %N A017223 a(n) = (9*n+5)^3. %H A017223 Vincenzo Librandi, <a href="/A017223/b017223.txt">Table of n, a(n) for n = 0..10000</a> %H A017223 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A017223 From _Chai Wah Wu_, Jul 14 2016: (Start) %F A017223 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 3. %F A017223 G.f.: (125 + 2244*x + 1941*x^2 + 64*x^3)/(1 - x)^4. (End) %F A017223 E.g.f.: (125 + 2619*x + 3402*x^2 + 729*x^3)*exp(x). - _G. C. Greubel_, Jan 06 2023 %t A017223 (9*Range[0,50] + 5)^3 (* _G. C. Greubel_, Jan 06 2023 *) %o A017223 (Magma) [(9*n+5)^3: n in [0..35]] ; // _Vincenzo Librandi_, Jul 24 2011 %o A017223 (SageMath) [(9*n+5)^3 for n in range(51)] # _G. C. Greubel_, Jan 06 2023 %Y A017223 Sequences of the form (9*n+5)^k: A017221 (k=1), A017222 (k=2), this sequence (k=3), A017224 (k=4), A017225 (k=5), A017226 (k=6), A017227 (k=7), A017228 (k=8), A017229 (k=9), A017230 (k=10), A017231 (k=11). %K A017223 nonn,easy %O A017223 0,1 %A A017223 _N. J. A. Sloane_