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A010999 a(n) = binomial coefficient C(n,46). 5
1, 47, 1128, 18424, 230300, 2349060, 20358520, 154143080, 1040465790, 6358402050, 35607051480, 184509266760, 891794789340, 4047376351620, 17345898649800, 70539987842520, 273342452889765, 1012974972473835, 3601688791018080, 12321566916640800, 40661170824914640 (list; graph; refs; listen; history; text; internal format)
OFFSET

46,2

LINKS

T. D. Noe, Table of n, a(n) for n = 46..1000

FORMULA

G.f.: x^46/(1-x)^47. - Zerinvary Lajos, Dec 20 2008

From Amiram Eldar, Dec 15 2020: (Start)

Sum_{n>=46} 1/a(n) = 46/45.

Sum_{n>=46} (-1)^n/a(n) = A001787(46)*log(2) - A242091(46)/45! = 1618481116086272*log(2) - 14357776821749670963095578951159/12798353476633725 = 0.9795596119... (End)

MAPLE

seq(binomial(n, 46), n=46..67); # Zerinvary Lajos, Dec 20 2008

MATHEMATICA

Table[Binomial[n, 46], {n, 46, 77}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)

PROG

(MAGMA) [Binomial(n, 46): n in [46..70]]; // Vincenzo Librandi, Jun 12 2013

CROSSREFS

Cf. A010997, A010998, A001787, A242091.

Sequence in context: A161692 A162191 A162456 * A182019 A270501 A047911

Adjacent sequences:  A010996 A010997 A010998 * A011000 A011001 A011002

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 28 17:27 EST 2021. Contains 341711 sequences. (Running on oeis4.)