A017745 Binomial coefficients C(n,81).

1, 82, 3403, 95284, 2024785, 34826302, 504981379, 6348337336, 70625252863, 706252528630, 6426898010533, 53752237906276, 416579843773639, 3012192716517082, 20439879147794485, 130815226545884704

Offset

81,2

Links

Michael De Vlieger, Table of n, a(n) for n = 81..10000

Formula

From G. C. Greubel, Nov 09 2018: (Start)

G.f.: x^81/(1-x)^82.

E.g.f.: x^81*exp(x)/81!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=81} 1/a(n) = 81/80.

Sum_{n>=81} (-1)^(n+1)/a(n) = A001787(81)*log(2) - A242091(81)/80! = 97922991388784963151200256*log(2) - 20383793233274067347552815305959536366374285194354782880613 / 300313511618462804737247891718800 = 0.9880887084... (End)

Mathematica

Table[Binomial[n, 81], {n, 81, 100}]  (* Harvey P. Dale, Jan 23 2011 *)

Prog

(Sage) [binomial(n, 81) for n in range(81, 97)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=81, 100, print1(binomial(n, 81), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 81): n in [81..100]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A230395 A017798 A035736 * A217676 A203169 A214815

Adjacent sequences: A017742 A017743 A017744 * A017746 A017747 A017748

Keyword

nonn

Author

N. J. A. Sloane

Status

approved