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.

A017719 Binomial coefficients C(n,55).

This page as a plain text file.
%I A017719 #24 Sep 08 2022 08:44:43
%S A017719 1,56,1596,30856,455126,5461512,55525372,491796152,3872894697,
%T A017719 27540584512,179013799328,1074082795968,5996962277488,31368725759168,
%U A017719 154603005527328,721480692460864,3201570572795084,13559593014190944
%N A017719 Binomial coefficients C(n,55).
%H A017719 G. C. Greubel, <a href="/A017719/b017719.txt">Table of n, a(n) for n = 55..10000</a>
%F A017719 From _G. C. Greubel_, Nov 03 2018: (Start)
%F A017719 G.f.: x^55/(1-x)^56.
%F A017719 E.g.f.: x^55*exp(x)/55!. (End)
%F A017719 From _Amiram Eldar_, Dec 16 2020: (Start)
%F A017719 Sum_{n>=55} 1/a(n) = 55/54.
%F A017719 Sum_{n>=55} (-1)^(n+1)/a(n) = A001787(55)*log(2) - A242091(55)/54! = 990791918021509120*log(2) - 25636511174742961236844310374211301851 / 37329399710235869418 = 0.9827390452... (End)
%t A017719 Table[Binomial[n,55],{n,55,80}] (* _Vladimir Joseph Stephan Orlovsky_, May 16 2011 *)
%o A017719 (Sage) [binomial(n, 55) for n in range(55,73)] # _Zerinvary Lajos_, May 23 2009
%o A017719 (PARI) for(n=55, 80, print1(binomial(n,55), ", ")) \\ _G. C. Greubel_, Nov 03 2018
%o A017719 (Magma) [Binomial(n,55): n in [55..80]]; // _G. C. Greubel_, Nov 03 2018
%Y A017719 Cf. A001787, A242091.
%K A017719 nonn
%O A017719 55,2
%A A017719 _N. J. A. Sloane_