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 A197321 #18 Feb 17 2023 10:10:53 %S A197321 1,88,4224,146432,4100096,98402304,2099249152,40785412096, %T A197321 734137417728,12398765277184,198380244434944,3029807369551872, %U A197321 44437174753427456,628956934971588608,8625695108181786624,115009268109090488320,1495120485418176348160,18996824991195652423680 %N A197321 a(n) = binomial(n+10, 10)*8^n. %H A197321 Vincenzo Librandi, <a href="/A197321/b197321.txt">Table of n, a(n) for n = 0..400</a> %H A197321 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (88,-3520,84480,-1351680,15138816,-121110528,692060160,-2768240640,7381975040,-11811160064,8589934592). %F A197321 a(n) = 8^n*C(n+10, 10). %F A197321 G.f.: 1/(1-8*x)^11. %F A197321 From _Amiram Eldar_, Feb 17 2023: (Start) %F A197321 Sum_{n>=0} 1/a(n) = 3879700814/9 - 3228288560*log(8/7). %F A197321 Sum_{n>=0} (-1)^n/a(n) = 30993639120*log(9/8) - 229983068738/63. (End) %t A197321 Table[Binomial[n+10,10]8^n,{n,0,20}] (* _Harvey P. Dale_, Mar 05 2012 *) %o A197321 (Magma) [8^n*Binomial(n+10, 10): n in [0..20]] %Y A197321 Cf. A140406, A140802, A141054, A173155, A196280. %K A197321 nonn,easy %O A197321 0,2 %A A197321 _Vincenzo Librandi_, Oct 15 2011