login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A017738 Binomial coefficients C(n,74). 2
1, 75, 2850, 73150, 1426425, 22537515, 300500200, 3477216600, 35641470150, 328693558050, 2761025887620, 21335200040700, 152902266958350, 1023269017336650, 6431976680401800, 38163061637050680 (list; graph; refs; listen; history; text; internal format)
OFFSET

74,2

LINKS

Michael De Vlieger, Table of n, a(n) for n = 74..10000

FORMULA

From G. C. Greubel, Nov 09 2018: (Start)

G.f.: x^74/(1-x)^75.

E.g.f.: x^74*exp(x)/74!. (End)

From Amiram Eldar, Dec 18 2020: (Start)

Sum_{n>=74} 1/a(n) = 74/73.

Sum_{n>=74} (-1)^n/a(n) = A001787(74)*log(2) - A242091(74)/73! = 698910239464707491627008*log(2) - 6719341123837706799694347993519215590602682862640625 / 13870107447311829845887261506 = 0.9870045330... (End)

MATHEMATICA

Binomial[Range[74, 90], 74] (* Harvey P. Dale, Jul 25 2017 *)

PROG

(Sage) [binomial(n, 74) for n in range(74, 90)] # Zerinvary Lajos, May 23 2009

(PARI) for(n=74, 90, print1(binomial(n, 74), ", ")) \\ G. C. Greubel, Nov 09 2018

(MAGMA) [Binomial(n, 74): n in [74..90]]; // G. C. Greubel, Nov 09 2018

CROSSREFS

Cf. A001787, A242091.

Sequence in context: A202257 A278154 A017791 * A166725 A075913 A134228

Adjacent sequences:  A017735 A017736 A017737 * A017739 A017740 A017741

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 7 19:13 EST 2021. Contains 341928 sequences. (Running on oeis4.)