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A017746 Binomial coefficients C(n,82). 2
1, 83, 3486, 98770, 2123555, 36949857, 541931236, 6890268572, 77515521435, 783768050065, 7210666060598, 60962903966874, 477542747740513, 3489735464257595, 23929614612052080, 154744841157936784 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 22 09:57 EDT 2021. Contains 345375 sequences. (Running on oeis4.)