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 A244729 #13 Jun 15 2025 18:29:44 %S A244729 0,10,80,270,640,1250,2160,3430,5120,7290,10000,13310,17280,21970, %T A244729 27440,33750,40960,49130,58320,68590,80000,92610,106480,121670,138240, %U A244729 156250,175760,196830,219520,243890,270000,297910,327680,359370,393040,428750,466560 %N A244729 a(n) = 10*n^3. %H A244729 Vincenzo Librandi, <a href="/A244729/b244729.txt">Table of n, a(n) for n = 0..1000</a> %H A244729 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A244729 G.f.: 10*x*(1 + 4*x + x^2)/(1 - x)^4. %F A244729 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. %t A244729 Table[10 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[10 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] %o A244729 (Magma) [10*n^3: n in [0..40]]; %o A244729 (Magma) I:=[0,10,80,270]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]]; %Y A244729 Cf. similar sequences listed in A244725. %K A244729 nonn,easy %O A244729 0,2 %A A244729 _Vincenzo Librandi_, Jul 05 2014