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A010991 Binomial coefficient C(n,38). 5
1, 39, 780, 10660, 111930, 962598, 7059052, 45379620, 260932815, 1362649145, 6540715896, 29135916264, 121399651100, 476260169700, 1768966344600, 6250347750920, 21094923659355, 68248282427325, 212327989773900, 636983969321700, 1847253511032930, 5189902721473470 (list; graph; refs; listen; history; text; internal format)
OFFSET

38,2

LINKS

T. D. Noe, Table of n, a(n) for n = 38..1000

FORMULA

G.f.: x^38/(1-x)^39. - Zerinvary Lajos, Dec 19 2008; adapted to offset by Enxhell Luzhnica, Jan 23 2017

From Amiram Eldar, Dec 15 2020: (Start)

Sum_{n>=38} 1/a(n) = 38/37.

Sum_{n>=38} (-1)^n/a(n) = A001787(38)*log(2) - A242091(38)/37! = 5222680231936*log(2) - 31812289115113208816827133/8787716212275 = 0.9755552351... (End)

MAPLE

seq(binomial(n, 38), n=38..57); # Zerinvary Lajos, Dec 19 2008

MATHEMATICA

Table[Binomial[n, 38], {n, 38, 66}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)

PROG

(MAGMA) [Binomial(n, 38): n in [38..70]]; // Vincenzo Librandi, Jun 12 2013

CROSSREFS

Cf. A010988, A010989, A010990, A001787, A242091.

Sequence in context: A162168 A162399 A126927 * A221358 A194133 A069520

Adjacent sequences:  A010988 A010989 A010990 * A010992 A010993 A010994

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 20 05:24 EDT 2021. Contains 347577 sequences. (Running on oeis4.)