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 A196790 #23 Oct 24 2024 11:02:19 %S A196790 11,286,3003,19448,92378,352716,1144066,3268760,8436285,20030010, %T A196790 44352165,92561040,183579396,348330136,635745396,1121099408, %U A196790 1917334783,3190187286,5178066751,8217822536,12777711870,19499099620,29248649430,43183019880,62828356305,90177170226 %N A196790 Binomial coefficients C(2*n-9,10). %H A196790 Vincenzo Librandi, <a href="/A196790/b196790.txt">Table of n, a(n) for n = 10..200</a> %F A196790 G.f.: x^10*(11+165*x+462*x^2+330*x^3+55*x^4+x^5) / (1-x)^11. - _R. J. Mathar_, Oct 08 2011 %F A196790 From _Amiram Eldar_, Oct 21 2022: (Start) %F A196790 Sum_{n>=10} 1/a(n) = 447187/252 - 2560*log(2). %F A196790 Sum_{n>=10} (-1)^n/a(n) = 40*Pi + 80*log(2) - 6517/36. (End) %t A196790 a[n_] := Binomial[2*n - 9, 10]; Array[a, 20, 10] (* _Amiram Eldar_, Oct 21 2022 *) %o A196790 (Magma) [Binomial(2*n-9,10): n in [10..40]]; %Y A196790 Cf. A053126, A053127, A053128, A053129, A053130, A053131, A053132, A053133. %K A196790 nonn,easy %O A196790 10,1 %A A196790 _Vincenzo Librandi_, Oct 07 2011