A010991 Binomial coefficient C(n,38).

1, 39, 780, 10660, 111930, 962598, 7059052, 45379620, 260932815, 1362649145, 6540715896, 29135916264, 121399651100, 476260169700, 1768966344600, 6250347750920, 21094923659355, 68248282427325, 212327989773900, 636983969321700, 1847253511032930, 5189902721473470

Offset

38,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (39, -741, 9139, -82251, 575757, -3262623, 15380937, -61523748, 211915132, -635745396, 1676056044, -3910797436, 8122425444, -15084504396, 25140840660, -37711260990, 51021117810, -62359143990, 68923264410, -68923264410, 62359143990, -51021117810, 37711260990, -25140840660, 15084504396, -8122425444, 3910797436, -1676056044, 635745396, -211915132, 61523748, -15380937, 3262623, -575757, 82251, -9139, 741, -39, 1).

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