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 A010978 #39 Dec 15 2023 10:35:31
%S A010978 1,26,351,3276,23751,142506,736281,3365856,13884156,52451256,
%T A010978 183579396,600805296,1852482996,5414950296,15084504396,40225345056,
%U A010978 103077446706,254661927156,608359048206,1408831480056,3169870830126,6943526580276,14833897694226,30957699535776
%N A010978 a(n) = binomial(n,25).
%H A010978 T. D. Noe, <a href="/A010978/b010978.txt">Table of n, a(n) for n = 25..1000</a>
%H A010978 <a href="/index/Rec#order_26">Index entries for linear recurrences with constant coefficients</a>, signature (26, -325, 2600, -14950, 65780, -230230, 657800, -1562275, 3124550, -5311735, 7726160, -9657700, 10400600, -9657700, 7726160, -5311735, 3124550, -1562275, 657800, -230230, 65780, -14950, 2600, -325, 26, -1).
%F A010978 From _Zerinvary Lajos_, Aug 18 2008: (Start)
%F A010978 a(n) = C(n,25), n >= 25.
%F A010978 G.f.: x^25/(1-x)^26. (End) [G.f. corrected by _Georg Fischer_, May 19 2019]
%F A010978 From _Amiram Eldar_, Dec 11 2020: (Start)
%F A010978 Sum_{n>=25} 1/a(n) = 25/24.
%F A010978 Sum_{n>=25} (-1)^(n+1)/a(n) = A001787(25)*log(2) - A242091(25)/24! = 419430400*log(2) - 155661889015631695/535422888 = 0.9641184185... (End)
%p A010978 seq(binomial(n,25),n=25..41); # _Zerinvary Lajos_, Aug 18 2008
%t A010978 Table[Binomial[n,25],{n,25,50}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 26 2011 *)
%o A010978 (Magma) [Binomial(n, 25): n in [25..50]]; // _Vincenzo Librandi_, Jun 12 2013
%o A010978 (PARI) x='x+O('x^50); Vec(x^25/(1-x)^26) \\ _G. C. Greubel_, Nov 23 2017
%Y A010978 Cf. A010970, A010971, A010972, A001787, A242091.
%K A010978 nonn,easy
%O A010978 25,2
%A A010978 _N. J. A. Sloane_