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 A168635 #13 Mar 24 2025 09:27:28
%S A168635 0,1,192,4374,40960,234375,979776,3294172,9437184,23914845,55000000,
%T A168635 116923026,232906752,439239619,790601280,1366875000,2281701376,
%U A168635 3693048057,5816090304,8938717390,13440000000,19811973951,28685115712,40857905364,57330892800
%N A168635 a(n) = n^7*(n + 1)/2.
%H A168635 G. C. Greubel, <a href="/A168635/b168635.txt">Table of n, a(n) for n = 0..1000</a>
%H A168635 <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 A168635 From _G. C. Greubel_, Jul 28 2016: (Start)
%F A168635 G.f.: x*(1 + 183*x + 2682*x^2 + 8422*x^3 + 7197*x^4 + 1611*x^5 + 64*x^6)/(1 - x)^9.
%F A168635 E.g.f.: (1/2)*x*(2 + 190*x + 1267*x^2 + 2051*x^3 + 1190*x^4 + 287*x^5 + 29*x^6 + x^7)*exp(x). (End)
%t A168635 Table[n^7*(n + 1)/2, {n,0,25}] (* _G. C. Greubel_, Jul 28 2016 *)
%o A168635 (Magma) [n^7*(n+1)/2: n in [0..25]]; // _Vincenzo Librandi_, Jul 29 2016
%o A168635 (PARI) a(n)=n^7*(n+1)/2 \\ _Charles R Greathouse IV_, Jul 29 2016
%o A168635 (SageMath)
%o A168635 def A168635(n): return n^6*binomial(n+1,2)
%o A168635 print([A168635(n) for n in range(31)]) # _G. C. Greubel_, Mar 23 2025
%Y A168635 Sequences of the form n^7*(n^k + 1)/2: A001015 (k=0), this sequence (k=1), A168636 (k=2), A168660 (k=3), A168661 (k=4), A168662 (k=5), A168663 (k=6), A168664 (k=7), A168665 (k=8), A168666 (k=9), A168667 (k=10).
%K A168635 nonn,easy
%O A168635 0,3
%A A168635 _N. J. A. Sloane_, Dec 11 2009