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 A254468 #19 Dec 29 2019 12:46:24
%S A254468 462,924,2508,8646,35112,159654,787968,4137966,22807752,130656534,
%T A254468 772253328,4683193086,29012227992,182964472614,1171328741088,
%U A254468 7594839621006,49780643849832,329318254755894,2195866174387248,14741498331453726,99542297086537272
%N A254468 a(n) = 35*4^n + 126*2^n + 70*3^n + 15*5^n + 5*6^n + 7^n + 210.
%C A254468 This is the sequence of seventh terms of "fifth partial sums of m-th powers".
%H A254468 Colin Barker, <a href="/A254468/b254468.txt">Table of n, a(n) for n = 0..1000</a>
%H A254468 Luciano Ancora, <a href="https://oeis.org/A254370/a254370.pdf">Demonstration of formulas</a>, page 2.
%H A254468 Luciano Ancora, <a href="/A254364/a254364_1.pdf">Recurrence relations for partial sums of m-th powers</a>
%H A254468 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (28,-322,1960,-6769,13132,-13068,5040).
%F A254468 G.f.: -6*(259610*x^6 -461263*x^5 +319473*x^4 -111595*x^3 +20900*x^2 -2002*x +77) / ((x -1)*(2*x -1)*(3*x -1)*(4*x -1)*(5*x -1)*(6*x -1)*(7*x -1)). - _Colin Barker_, Jan 31 2015
%F A254468 a(n) = 28*a(n-1) -322*a(n-2) +1960*a(n-3) -6769*a(n-4) +13132*a(n-5) -13068*a(n-6) +5040*a(n-7). - _Colin Barker_, Jan 31 2015
%t A254468 Table[35 4^n + 126 2^n + 70 3^n + 15 5^n + 5 6^n + 7^n + 210, {n, 0, 25}] (* _Michael De Vlieger_, Jan 31 2015 *)
%t A254468 LinearRecurrence[{28,-322,1960,-6769,13132,-13068,5040},{462,924,2508,8646,35112,159654,787968},30] (* _Harvey P. Dale_, Dec 29 2019 *)
%o A254468 (PARI) vector(30, n, n--; 35*4^n + 126*2^n + 70*3^n + 15*5^n + 5*6^n + 7^n + 210) \\ _Colin Barker_, Jan 31 2015
%Y A254468 Cf. A168614, A254368, A254369, A254370, A254467.
%K A254468 nonn,easy
%O A254468 0,1
%A A254468 _Luciano Ancora_, Jan 31 2015