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.

A017774 Binomial coefficients C(58,n).

This page as a plain text file.
%I A017774 #25 Jun 28 2023 21:46:19
%S A017774 1,58,1653,30856,424270,4582116,40475358,300674088,1916797311,
%T A017774 10648873950,52179482355,227692286640,891794789340,3155581562280,
%U A017774 10142940735900,29752626158640,79960182801345,197548686920970,449972009097765,947309492837400
%N A017774 Binomial coefficients C(58,n).
%C A017774 Row 58 of A007318.
%H A017774 Nathaniel Johnston, <a href="/A017774/b017774.txt">Table of n, a(n) for n = 0..58</a> (full sequence)
%F A017774 From _G. C. Greubel_, Nov 13 2018: (Start)
%F A017774 G.f.: (1+x)^58.
%F A017774 E.g.f.: 1F1(-58; 1; -x), where 1F1 is the confluent hypergeometric function. (End)
%p A017774 seq(binomial(58,n), n=0..58); # _Nathaniel Johnston_, Jun 24 2011
%t A017774 Binomial[58, Range[0,58]] (* or *) With[{nmax = 58}, CoefficientList[ Series[Hypergeometric1F1[-58, 1, -x], {x, 0, nmax}], x]*Range[0, nmax]!] (* _G. C. Greubel_, Nov 13 2018 *)
%o A017774 (Sage) [binomial(58, n) for n in range(18)] # _Zerinvary Lajos_, May 28 2009
%o A017774 (PARI) vector(58, n, n--; binomial(58,n)) \\ _G. C. Greubel_, Nov 13 2018
%o A017774 (Magma) [Binomial(58,n): n in [0..58]]; // _G. C. Greubel_, Nov 13 2018
%Y A017774 Cf. A010926-A011001, A017765-A017773, A017775-A017816.
%K A017774 nonn,fini,full,easy
%O A017774 0,2
%A A017774 _N. J. A. Sloane_