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 A245380 #10 Jan 20 2025 17:58:46 %S A245380 0,1,22,153,624,1875,4626,9947,19328,34749,58750,94501,145872,217503, %T A245380 314874,444375,613376,830297,1104678,1447249,1870000,2386251,3010722, %U A245380 3759603,4650624,5703125,6938126,8378397,10048528,11974999,14186250,16712751,19587072 %N A245380 (7*n^5+5*n^3)/12. %C A245380 7*n^5+5*n^3 = 0 (mod.12) for all n. %H A245380 Vincenzo Librandi, <a href="/A245380/b245380.txt">Table of n, a(n) for n = 0..1000</a> %H A245380 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1). %F A245380 G.f.: x*(x^4 + 16*x^3 + 36*x^2 + 16*x + 1)/(x - 1)^6. %t A245380 Table[(7 n^5 + 5 n^3)/12, {n, 0, 40}] (* or *) CoefficientList[Series[x (x^4 + 16 x^3 + 36 x^2 + 16 x + 1)/(x - 1)^6, {x, 0, 40}], x] %t A245380 LinearRecurrence[{6,-15,20,-15,6,-1},{0,1,22,153,624,1875},40] (* _Harvey P. Dale_, Jan 20 2025 *) %o A245380 (Magma) [(7*n^5+5*n^3)/12: n in [0..40]]; %K A245380 nonn,easy %O A245380 0,3 %A A245380 _Vincenzo Librandi_, Jul 20 2014