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 A010985 #39 Dec 15 2023 10:45:34 %S A010985 1,33,561,6545,58905,435897,2760681,15380937,76904685,350343565, %T A010985 1471442973,5752004349,21090682613,73006209045,239877544005, %U A010985 751616304549,2254848913647,6499270398159,18053528883775,48459472266975,125994627894135,317986441828055 %N A010985 Binomial coefficient C(n,32). %H A010985 T. D. Noe, <a href="/A010985/b010985.txt">Table of n, a(n) for n = 32..1000</a> %H A010985 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (33, -528, 5456, -40920, 237336, -1107568, 4272048, -13884156, 38567100, -92561040, 193536720, -354817320, 573166440, -818809200, 1037158320, -1166803110, 1166803110, -1037158320, 818809200, -573166440, 354817320, -193536720, 92561040, -38567100, 13884156, -4272048, 1107568, -237336, 40920, -5456, 528, -33, 1). %F A010985 G.f.: x^32/(1-x)^33. - _Zerinvary Lajos_, Dec 19 2008; adapted to offset by _Enxhell Luzhnica_, Jan 21 2017 %F A010985 From _Amiram Eldar_, Dec 12 2020: (Start) %F A010985 Sum_{n>=32} 1/a(n) = 32/31. %F A010985 Sum_{n>=32} (-1)^n/a(n) = A001787(32)*log(2) - A242091(32)/31! = 68719476736*log(2) - 214947899422115237851136/4512611027925 = 0.9713417027... (End) %p A010985 seq(binomial(n,32),n=32..55); # _Zerinvary Lajos_, Dec 19 2008 %t A010985 Table[Binomial[n,32],{n,32,60}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 26 2011 *) %o A010985 (Magma) [Binomial(n, 32): n in [32..70]]; // _Vincenzo Librandi_, Jun 12 2013 %o A010985 (PARI) x='x+O('x^50); Vec(x^32/(1-x)^33) \\ _G. C. Greubel_, Nov 23 2017 %Y A010985 Cf. A010982, A010984, A001787, A242091. %K A010985 nonn,easy %O A010985 32,2 %A A010985 _N. J. A. Sloane_