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 A017224 #25 Jan 11 2023 11:09:12 %S A017224 625,38416,279841,1048576,2825761,6250000,12117361,21381376,35153041, %T A017224 54700816,81450625,116985856,163047361,221533456,294499921,384160000, %U A017224 492884401,623201296,777796321,959512576 %N A017224 a(n) = (9*n + 5)^4. %H A017224 Vincenzo Librandi, <a href="/A017224/b017224.txt">Table of n, a(n) for n = 0..10000</a> %H A017224 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A017224 a(n) = A000583(A017221(n)). %F A017224 From _Harvey P. Dale_, Apr 27 2016: (Start) %F A017224 a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). %F A017224 G.f.: (625 + 35291*x + 94011*x^2 + 27281*x^3 + 256*x^4)/(1-x)^5. (End) %F A017224 E.g.f.: (625 + 37791*x + 101817*x^2 + 53946*x^3 + 6561*x^4)*exp(x). - _G. C. Greubel_, Jan 06 2023 %t A017224 (9*Range[0,20]+5)^4 (* _Harvey P. Dale_, Apr 27 2016 *) %o A017224 (Magma) [(9*n+5)^4: n in [0..35]] ; // _Vincenzo Librandi_, Jul 24 2011 %o A017224 (SageMath) [(9*n+5)^4 for n in range(41)] # _G. C. Greubel_, Jan 06 2023 %Y A017224 Sequences of the form (9*n+5)^k: A017221 (k=1), A017222 (k=2), A017223 (k=3), this sequence (k=4), A017225 (k=5), A017226 (k=6), A017227 (k=7), A017228 (k=8), A017229 (k=9), A017230 (k=10), A017231 (k=11). %Y A017224 Cf. A000583 (n^4). %K A017224 nonn,easy %O A017224 0,1 %A A017224 _N. J. A. Sloane_