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 A180358 #11 Jul 22 2025 08:24:52 %S A180358 0,9,272,6585,65568,390665,1679664,5764857,16777280,43046793, %T A180358 100000080,214358969,429981792,815730825,1475789168,2562890745, %U A180358 4294967424,6975757577,11019960720,16983563193,25600000160,37822859529,54875873712 %N A180358 n^8+8n. %H A180358 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9, -36, 84, -126, 126, -84, 36, -9, 1). %F A180358 a(n)= +9*a(n-1) -36*a(n-2) +84*a(n-3) -126*a(n-4) +126*a(n-5) -84*a(n-6) +36*a(n-7) -9*a(n-8) +a(n-9). G.f.: x*(-9-191*x-4461*x^2-15339*x^3-15899*x^4-4125*x^5-303*x^6+7*x^7) / (x-1)^9 . [From _R. J. Mathar_, Sep 19 2010] %t A180358 Table[n^8+8n,{n,0,30}] (* or *) LinearRecurrence[ {9,-36,84,-126,126,-84,36,-9,1},{0,9,272,6585,65568,390665,1679664,5764857,16777280},30] (* _Harvey P. Dale_, Jan 03 2012 *) %Y A180358 Cf.: A132411, A079908, A180354, A180355, A180356, A180357. %K A180358 easy,nonn %O A180358 0,2 %A A180358 _Odimar Fabeny_, Aug 30 2010 %E A180358 a(0) corrected by _R. J. Mathar_, Sep 19 2010