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A017751 Binomial coefficients C(n,87). 2

%I #17 Sep 08 2022 08:44:43

%S 1,88,3916,117480,2672670,49177128,762245484,10235867928,121550931645,

%T 1296543270880,12576469727536,112044912118048,924370524973896,

%U 7110542499799200,51297485177122800,348822899204435040

%N Binomial coefficients C(n,87).

%H G. C. Greubel, <a href="/A017751/b017751.txt">Table of n, a(n) for n = 87..10000</a>

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

%F G.f.: x^87/(1-x)^88.

%F E.g.f.: x^87*exp(x)/87!. (End)

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

%F Sum_{n>=87} 1/a(n) = 87/86.

%F Sum_{n>=87} (-1)^(n+1)/a(n) = A001787(87)*log(2) - A242091(87)/86! = 6731298963614255244763987968*log(2) - 13534838706893980718775069557321469163322230965988145004609667 / 2900873187659375626793847091990650 = 0.9888835692... (End)

%t Binomial[Range[87, 110], 87] (* _G. C. Greubel_, Nov 12 2018 *)

%o (Sage) [binomial(n, 87) for n in range(87,103)] # _Zerinvary Lajos_, May 23 2009

%o (PARI) for(n=87, 110, print1(binomial(n,87), ", ")) \\ _G. C. Greubel_, Nov 12 2018

%o (Magma) [Binomial(n,87): n in [87..110]]; // _G. C. Greubel_, Nov 12 2018

%Y Cf. A001787, A242091.

%K nonn

%O 87,2

%A _N. J. A. Sloane_

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Last modified April 25 11:03 EDT 2024. Contains 371967 sequences. (Running on oeis4.)