A017725 Binomial coefficients C(n,61).

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

Offset

61,2

Links

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

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)

Mathematica

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

Prog

(Sage) [binomial(n, 61) for n in range(61, 78)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=61, 80, print1(binomial(n, 61), ", ")) \\ G. C. Greubel, Nov 03 2018
(Magma) [Binomial(n, 61): n in [61..80]]; // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A037962 A017778 A035726 * A092709 A308436 A137219

Adjacent sequences: A017722 A017723 A017724 * A017726 A017727 A017728

Keyword

nonn

Author

N. J. A. Sloane

Status

approved