A010992 Binomial coefficient C(n,39).

1, 40, 820, 11480, 123410, 1086008, 8145060, 53524680, 314457495, 1677106640, 8217822536, 37353738800, 158753389900, 635013559600, 2403979904200, 8654327655120, 29749251314475, 97997533741800, 310325523515700, 947309492837400, 2794563003870330

Offset

39,2

Links

T. D. Noe, Table of n, a(n) for n = 39..1000

Index entries for linear recurrences with constant coefficients, signature (40, -780, 9880, -91390, 658008, -3838380, 18643560, -76904685, 273438880, -847660528, 2311801440, -5586853480, 12033222880, -23206929840, 40225345056, -62852101650, 88732378800, -113380261800, 131282408400, -137846528820, 131282408400, -113380261800, 88732378800, -62852101650, 40225345056, -23206929840, 12033222880, -5586853480, 2311801440, -847660528, 273438880, -76904685, 18643560, -3838380, 658008, -91390, 9880, -780, 40, -1).

Formula

G.f.: x^39/(1-x)^40. - Zerinvary Lajos, Dec 19 2008

From Amiram Eldar, Dec 15 2020: (Start)

Sum_{n>=39} 1/a(n) = 39/38.

Sum_{n>=39} (-1)^(n+1)/a(n) = A001787(39)*log(2) - A242091(39)/38! = 10720238370816*log(2) - 63624578230235205349866541/8562390155550 = 0.9761396932... (End)

Maple

seq(binomial(n, 39), n=39..57); # Zerinvary Lajos, Dec 19 2008

Mathematica

Table[Binomial[n, 39], {n, 39, 70}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)

Prog

(Magma) [Binomial(n, 39): n in [39..70]]; // Vincenzo Librandi, Jun 12 2013

Crossrefs

Cf. A010990, A010991, A001787, A242091.

Sequence in context: A161653 A162176 A162402 * A250584 A004421 A247411

Adjacent sequences: A010989 A010990 A010991 * A010993 A010994 A010995

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved