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 A168116 #26 Sep 02 2025 06:04:06 %S A168116 0,1,257,9843,131074,976565,5038851,20176807,67108868,193710249, %T A168116 500000005,1178973851,2579890182,5302249693,10330523399,19221679695, %U A168116 34359738376,59293938257,99179645193,161343848899,256000000010,397140023301,603634608907 %N A168116 a(n) = n*(n^8+1)/2. %H A168116 Kelvin Voskuijl, <a href="/A168116/b168116.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 by G. C. Greubel) %H A168116 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1). %F A168116 G.f.: x*(1 + 247*x + 7318*x^2 + 44089*x^3 + 78130*x^4 + 44089*x^5 + 7318*x^6 + 247*x^7 + x^8)/(1 - x)^10. - _R. J. Mathar_, Oct 13 2011 %F A168116 a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10). - _Wesley Ivan Hurt_, Jun 26 2022 %t A168116 Table[n*(n^8 + 1)/2, {n, 0, 50}] (* _G. C. Greubel_, Jul 13 2016 *) %t A168116 LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{0,1,257,9843,131074,976565,5038851,20176807,67108868,193710249},30] (* _Harvey P. Dale_, Jul 12 2025 *) %o A168116 (Magma) [n*(n^8+1)/2: n in [0..25]]; // _Vincenzo Librandi_, Jul 14 2016 %K A168116 nonn,changed %O A168116 0,3 %A A168116 _N. J. A. Sloane_, Dec 11 2009