cp's OEIS Frontend

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.

A196790 Binomial coefficients C(2*n-9,10).

This page as a plain text file.
%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