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 A024070 #15 Sep 08 2022 08:44:48 %S A024070 1,5,-220,-6345,-64240,-382849,-1632960,-5484865,-15097600,-32969025, %T A024070 -39533824,148438175,1746800640,12244963295,76888375040,467622093951, %U A024070 2816814940160,16919683687295,101548936707840 %N A024070 a(n) = 6^n-n^8. %H A024070 Vincenzo Librandi, <a href="/A024070/b024070.txt">Table of n, a(n) for n = 0..500</a> %F A024070 From _Chai Wah Wu_, May 13 2017: (Start) %F A024070 a(n) = 15*a(n-1) - 90*a(n-2) + 300*a(n-3) - 630*a(n-4) + 882*a(n-5) - 840*a(n-6) + 540*a(n-7) - 225*a(n-8) + 55*a(n-9) - 6*a(n-10) for n > 9. %F A024070 G.f.: (5*x^9 + 1490*x^8 + 25475*x^7 + 89505*x^6 + 77969*x^5 + 10265*x^4 - 2895*x^3 - 205*x^2 - 10*x + 1)/((x - 1)^9*(6*x - 1)). (End) %p A024070 A024070:=n->6^n-n^8: seq(A024070(n), n=0..30); # _Wesley Ivan Hurt_, Apr 26 2017 %t A024070 Array[6^# - #^8 &, 19, 0] (* or *) %t A024070 CoefficientList[Series[(5 x^9 + 1490 x^8 + 25475 x^7 + 89505 x^6 + 77969 x^5 + 10265 x^4 - 2895 x^3 - 205 x^2 - 10 x + 1)/((x - 1)^9*(6 x - 1)), {x, 0, 18}], x] (* _Michael De Vlieger_, May 13 2017 *) %o A024070 (Magma) [6^n-n^8: n in [0..25]]; // _Vincenzo Librandi_, Jul 03 2011 %K A024070 sign,easy %O A024070 0,2 %A A024070 _N. J. A. Sloane_