A010976 Binomial coefficient C(n,23).

1, 24, 300, 2600, 17550, 98280, 475020, 2035800, 7888725, 28048800, 92561040, 286097760, 834451800, 2310789600, 6107086800, 15471286560, 37711260990, 88732378800, 202112640600, 446775310800, 960566918220, 2012616400080, 4116715363800, 8233430727600

Offset

23,2

Links

T. D. Noe, Table of n, a(n) for n = 23..1000

Index entries for linear recurrences with constant coefficients, signature (24, -276, 2024, -10626, 42504, -134596, 346104, -735471, 1307504, -1961256, 2496144, -2704156, 2496144, -1961256, 1307504, -735471, 346104, -134596, 42504, -10626, 2024, -276, 24, -1).

Formula

a(n) = n/(n-23) * a(n-1) for n > 23. - Vincenzo Librandi, Mar 26 2011

G.f.: x^23/(1-x)^24. - G. C. Greubel, Nov 23 2017

From Amiram Eldar, Dec 11 2020: (Start)

Sum_{n>=23} 1/a(n) = 23/22.

Sum_{n>=23} (-1)^(n+1)/a(n) = A001787(23)*log(2) - A242091(23)/22! = 96468992*log(2) - 1945773591174209/29099070 = 0.9613305695... (End)

Maple

seq(binomial(n, 23), n=23..43); # Zerinvary Lajos, Aug 04 2008

Mathematica

Table[Binomial[n, 23], {n, 23, 50}] (* Vladimir Joseph Stephan Orlovsky, Apr 26 2011 *)

Prog

(Magma) [Binomial(n, 23): n in [23..90]]; // Vincenzo Librandi, Mar 26 2011
(PARI) for(n=23, 50, print1(binomial(n, 23), ", ")) \\ G. C. Greubel, Nov 23 2017

Crossrefs

Pascal's triangle A007318. [Zerinvary Lajos, Aug 04 2008]

Cf. A010970, A010971, A010972, A001787, A242091.

Sequence in context: A056290 A056285 A162686 * A100130 A014103 A321953

Adjacent sequences: A010973 A010974 A010975 * A010977 A010978 A010979

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved