login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
Index entries for linear recurrences with constant coefficients, signature (49, -1176, 18424, -211876, 1906884, -13983816, 85900584, -450978066, 2054455634, -8217822536, 29135916264, -92263734836, 262596783764, -675248872536, 1575580702584, -3348108992991, 6499270398159, -11554258485616, 18851684897584, -28277527346376, 39049918716424, -49699896548176, 58343356817424, -63205303218876, 63205303218876, -58343356817424, 49699896548176, -39049918716424, 28277527346376, -18851684897584, 11554258485616, -6499270398159, 3348108992991, -1575580702584, 675248872536, -262596783764, 92263734836, -29135916264, 8217822536, -2054455634, 450978066, -85900584, 13983816, -1906884, 211876, -18424, 1176, -49, 1).
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
Sequence in context: A161694 A162204 A162469 * A269418 A115999 A228258
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)