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A017759 Binomial coefficients C(n,95). 3

%I #28 Sep 08 2022 08:44:43

%S 1,96,4656,152096,3764376,75287520,1267339920,18466953120,

%T 237762021420,2747472247520,28848458598960,277994237408160,

%U 2478781950222760,20592957740312160,160330885263858960,1175759825268299040,8156833787798824590,53739140249027550240

%N Binomial coefficients C(n,95).

%H Michael De Vlieger, <a href="/A017759/b017759.txt">Table of n, a(n) for n = 95..10000</a>

%F From _G. C. Greubel_, Nov 12 2018: (Start)

%F G.f.: x^95/(1-x)^96.

%F E.g.f.: x^95*exp(x)/95!. (End)

%F From _Amiram Eldar_, Dec 20 2020: (Start)

%F Sum_{n>=95} 1/a(n) = 95/94.

%F Sum_{n>=95} (-1)^(n+1)/a(n) = A001787(95)*log(2) - A242091(95)/94! = 1881668859713778017846668820480*log(2) - 308377765097872456696571184859137101525719223277941875149223928483 / 236436432547858373455418505613511610 = 0.9897917882... (End)

%t Table[Binomial[n, 95], {n, 95, 120}] (* _Vladimir Joseph Stephan Orlovsky_, Jul 15 2011 *)

%o (Sage) [binomial(n, 95) for n in range(95,110)] # _Zerinvary Lajos_, May 23 2009

%o (PARI) a(n)=binomial(n,95) \\ _Charles R Greathouse IV_, Jun 28 2012

%o (Magma) [Binomial(n,95): n in [95..110]]; // _G. C. Greubel_, Nov 12 2018

%Y Cf. A017760, A017761, A001787, A242091.

%K nonn,easy

%O 95,2

%A _N. J. A. Sloane_

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Last modified August 31 08:34 EDT 2024. Contains 375560 sequences. (Running on oeis4.)