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A010985 Binomial coefficient C(n,32). 6
1, 33, 561, 6545, 58905, 435897, 2760681, 15380937, 76904685, 350343565, 1471442973, 5752004349, 21090682613, 73006209045, 239877544005, 751616304549, 2254848913647, 6499270398159, 18053528883775, 48459472266975, 125994627894135, 317986441828055 (list; graph; refs; listen; history; text; internal format)
OFFSET

32,2

LINKS

T. D. Noe, Table of n, a(n) for n = 32..1000

FORMULA

G.f.: x^32/(1-x)^33. - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 21 2017

From Amiram Eldar, Dec 12 2020: (Start)

Sum_{n>=32} 1/a(n) = 32/31.

Sum_{n>=32} (-1)^n/a(n) = A001787(32)*log(2) - A242091(32)/31! = 68719476736*log(2) - 214947899422115237851136/4512611027925 = 0.9713417027... (End)

MAPLE

seq(binomial(n, 32), n=32..55); # Zerinvary Lajos, Dec 19 2008

MATHEMATICA

Table[Binomial[n, 32], {n, 32, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)

PROG

(MAGMA) [Binomial(n, 32): n in [32..70]]; // Vincenzo Librandi, Jun 12 2013

(PARI) x='x+O('x^50); Vec(x^32/(1-x)^33) \\ G. C. Greubel, Nov 23 2017

CROSSREFS

Cf. A010982, A010984, A001787, A242091.

Sequence in context: A162380 A188357 A126923 * A228256 A197361 A282926

Adjacent sequences:  A010982 A010983 A010984 * A010986 A010987 A010988

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 18 22:48 EDT 2021. Contains 348070 sequences. (Running on oeis4.)