A017725 Binomial coefficients C(n,61).

1, 62, 1953, 41664, 677040, 8936928, 99795696, 969443904, 8361453672, 65033528560, 461738052776, 3022285436352, 18385569737808, 104656320045984, 560658857389200, 2840671544105280, 13670731806006660

Offset: 61

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 61..10000

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,61): n in [61..80]]; // G. C. Greubel, Nov 03 2018

Mathematica

With[{x = 61}, Binomial[Range[x, x + 16], x]] (* Michael De Vlieger, Jan 31 2018 *)

PARI

for(n=61, 80, print1(binomial(n,61), ", ")) \\ G. C. Greubel, Nov 03 2018

Sage

[binomial(n, 61) for n in range(61,78)] # Zerinvary Lajos, May 23 2009

Formula

From G. C. Greubel, Nov 03 2018: (Start)

G.f.: x^61/(1-x)^62.

E.g.f.: x^61*exp(x)/61!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=61} 1/a(n) = 61/60.

Sum_{n>=61} (-1)^(n+1)/a(n) = A001787(61)*log(2) - A242091(61)/60! = 70328211781017665536*log(2) - 11810022875891189455560842652264706707798107 / 242267804119430792522820 = 0.9843603731... (End)