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 A254467 #19 Jul 16 2018 16:23:03
%S A254467 252,462,1122,3432,12342,49632,216342,1001952,4863462,24500352,
%T A254467 127161462,676195872,3668030982,20227217472,113076824982,639383508192,
%U A254467 3649985092902,21003583828992,121677813214902,708891056106912,4149610383537222
%N A254467 a(n) = 15*4^n + 70*2^n + 35*3^n + 5^(n+1) + 6^n + 126.
%C A254467 This is the sequence of sixth terms of "fifth partial sums of m-th powers".
%H A254467 Colin Barker, <a href="/A254467/b254467.txt">Table of n, a(n) for n = 0..1000</a>
%H A254467 Luciano Ancora, <a href="https://oeis.org/A254370/a254370.pdf">Demonstration of formulas</a>, page 2.
%H A254467 Luciano Ancora, <a href="/A254364/a254364_1.pdf">Recurrence relations for partial sums of m-th powers</a>
%H A254467 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (21,-175,735,-1624,1764,-720).
%F A254467 G.f.: -6*(21310*x^5 -34383*x^4 +20750*x^3 -5920*x^2 +805*x -42) / ((x -1)*(2*x -1)*(3*x -1)*(4*x -1)*(5*x -1)*(6*x -1)). - _Colin Barker_, Jan 31 2015
%F A254467 a(n) = 21*a(n-1)-175*a(n-2)+735*a(n-3)-1624*a(n-4)+1764*a(n-5)-720*a(n-6). - _Colin Barker_, Jan 31 2015
%t A254467 Table[15×4^n+70×2^n+35×3^n+5^(n+1)+6^n+126, {n, 0, 25}] (* _Michael De Vlieger_, Jan 31 2015 *)
%t A254467 LinearRecurrence[{21,-175,735,-1624,1764,-720},{252,462,1122,3432,12342,49632},30] (* _Harvey P. Dale_, Jul 16 2018 *)
%o A254467 (PARI) vector(30, n, n--; 15*4^n + 70*2^n + 35*3^n + 5^(n+1) + 6^n + 126) \\ _Colin Barker_, Jan 31 2015
%Y A254467 Cf. A168614, A254368, A254369, A254370, A254468.
%K A254467 nonn,easy
%O A254467 0,1
%A A254467 _Luciano Ancora_, Jan 31 2015