A017728 Binomial coefficients C(n,64).

1, 65, 2145, 47905, 814385, 11238513, 131115985, 1329890705, 11969016345, 97082021465, 718406958841, 4898229264825, 31022118677225, 183746395242025, 1023729916348425, 5391644226101705, 26958221130508525

Offset

64,2

Links

Michael De Vlieger, Table of n, a(n) for n = 64..10000

Formula

From G. C. Greubel, Nov 08 2018: (Start)

G.f.: x^64/(1-x)^65.

E.g.f.: x^64*exp(x)/64!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=64} 1/a(n) = 64/63.

Sum_{n>=64} (-1)^n/a(n) = A001787(64)*log(2) - A242091(64)/63! = 590295810358705651712*log(2) - 1511682928114072250338673755441561389600833536 / 3694584012821319585973005 = 0.9850618563... (End)

Mathematica

Array[Binomial[#, 64] &, 17, 64] (* Michael De Vlieger, Jul 06 2018 *)

Prog

(SageMath) [binomial(n, 64) for n in range(64, 81)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=64, 90, print1(binomial(n, 64), ", ")) \\ G. C. Greubel, Nov 08 2018
(Magma) [Binomial(n, 64): n in [64..90]]; // G. C. Greubel, Nov 08 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A333118 A095027 A017781 * A300168 A004354 A016111

Adjacent sequences: A017725 A017726 A017727 * A017729 A017730 A017731

Keyword

nonn

Author

N. J. A. Sloane

Status

approved