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A011001 Binomial coefficient C(n,48). 98
1, 49, 1225, 20825, 270725, 2869685, 25827165, 202927725, 1420494075, 8996462475, 52179482355, 279871768995, 1399358844975, 6566222272575, 29078984349975, 122131734269895, 488526937079580, 1867897112363100, 6848956078664700, 24151581961607100 (list; graph; refs; listen; history; text; internal format)
OFFSET

48,2

LINKS

T. D. Noe, Table of n, a(n) for n = 48..1000

FORMULA

G.f.: x^48/(1-x)^49. - Zerinvary Lajos, Dec 20 2008

From Amiram Eldar, Dec 15 2020: (Start)

Sum_{n>=48} 1/a(n) = 48/47.

Sum_{n>=48} (-1)^n/a(n) = A001787(48)*log(2) - A242091(48)/47! = 6755399441055744*log(2) - 21594096339911519462651644572315136 / 4611673369413685575 = 0.9803635237... (End)

MAPLE

seq(binomial(n, 48), n=48..67); # Zerinvary Lajos, Dec 20 2008

MATHEMATICA

Table[Binomial[n, 48], {n, 48, 77}] (* Vladimir Joseph Stephan Orlovsky, May 16 2011 *)

PROG

(PARI) a(n)=binomial(n, 48)  \\ Charles R Greathouse IV, Jan 08 2013

(MAGMA) [Binomial(n, 48): n in [48..70]]; // Vincenzo Librandi, Jun 12 2013

(Python)

A011001_list, m = [], [1]*49

for _ in range(10**2):

    A011001_list.append(m[-1])

    for i in range(48):

        m[i+1] += m[i] # Chai Wah Wu, Jan 24 2016

CROSSREFS

Cf. A010999, A011000, A001787, A242091.

Sequence in context: A161694 A162204 A162469 * A269418 A115999 A228258

Adjacent sequences:  A010998 A010999 A011000 * A011002 A011003 A011004

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 22 05:19 EST 2022. Contains 350481 sequences. (Running on oeis4.)