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A010976 Binomial coefficient C(n,23).

%I A010976 #34 May 07 2025 11:16:37
%S A010976 1,24,300,2600,17550,98280,475020,2035800,7888725,28048800,92561040,
%T A010976 286097760,834451800,2310789600,6107086800,15471286560,37711260990,
%U A010976 88732378800,202112640600,446775310800,960566918220,2012616400080,4116715363800,8233430727600
%N A010976 Binomial coefficient C(n,23).
%H A010976 T. D. Noe, <a href="/A010976/b010976.txt">Table of n, a(n) for n = 23..1000</a>
%H A010976 <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (24,-276,2024,-10626,42504,-134596,346104,-735471,1307504,-1961256,2496144,-2704156,2496144,-1961256,1307504,-735471,346104,-134596,42504,-10626,2024,-276,24,-1).
%F A010976 a(n) = n/(n-23) * a(n-1) for n > 23. - _Vincenzo Librandi_, Mar 26 2011
%F A010976 G.f.: x^23/(1-x)^24. - _G. C. Greubel_, Nov 23 2017
%F A010976 From _Amiram Eldar_, Dec 11 2020: (Start)
%F A010976 Sum_{n>=23} 1/a(n) = 23/22.
%F A010976 Sum_{n>=23} (-1)^(n+1)/a(n) = A001787(23)*log(2) - A242091(23)/22! = 96468992*log(2) - 1945773591174209/29099070 = 0.9613305695... (End)
%p A010976 seq(binomial(n,23), n=23..43); # _Zerinvary Lajos_, Aug 04 2008
%t A010976 Table[Binomial[n,23],{n,23,50}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 26 2011 *)
%o A010976 (Magma) [Binomial(n,23): n in [23..90]]; // _Vincenzo Librandi_, Mar 26 2011
%o A010976 (PARI) for(n=23, 50, print1(binomial(n,23), ", ")) \\ _G. C. Greubel_, Nov 23 2017
%Y A010976 Pascal's triangle A007318. [_Zerinvary Lajos_, Aug 04 2008]
%Y A010976 Cf. A010970, A010971, A010972, A001787, A242091.
%K A010976 nonn,easy
%O A010976 23,2
%A A010976 _N. J. A. Sloane_