A010985 Binomial coefficient C(n,32).

1, 33, 561, 6545, 58905, 435897, 2760681, 15380937, 76904685, 350343565, 1471442973, 5752004349, 21090682613, 73006209045, 239877544005, 751616304549, 2254848913647, 6499270398159, 18053528883775, 48459472266975, 125994627894135, 317986441828055

Offset

32,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (33, -528, 5456, -40920, 237336, -1107568, 4272048, -13884156, 38567100, -92561040, 193536720, -354817320, 573166440, -818809200, 1037158320, -1166803110, 1166803110, -1037158320, 818809200, -573166440, 354817320, -193536720, 92561040, -38567100, 13884156, -4272048, 1107568, -237336, 40920, -5456, 528, -33, 1).

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