A017746 Binomial coefficients C(n,82).

1, 83, 3486, 98770, 2123555, 36949857, 541931236, 6890268572, 77515521435, 783768050065, 7210666060598, 60962903966874, 477542747740513, 3489735464257595, 23929614612052080, 154744841157936784

Offset

82,2

Links

Michael De Vlieger, Table of n, a(n) for n = 82..10000

Formula

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

G.f.: x^82/(1-x)^83.

E.g.f.: x^82*exp(x)/82!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=82} 1/a(n) = 82/81.

Sum_{n>=82} (-1)^n/a(n) = A001787(82)*log(2) - A242091(82)/81! = 198263834416799184651812864*log(2) - 20383793233274067347552815456116292175605687562978728740013 / 148325575860338336486079751397700 = 0.9882289899... (End)

Mathematica

Array[Binomial[#, 82] &, 16, 82] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(Sage) [binomial(n, 82) for n in range(82, 98)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=82, 100, print1(binomial(n, 82), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 82): n in [82..100]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A156924 A084299 A017799 * A220649 A252812 A202657

Adjacent sequences: A017743 A017744 A017745 * A017747 A017748 A017749

Keyword

nonn

Author

N. J. A. Sloane

Status

approved