A017721 Binomial coefficients C(n,57).

1, 58, 1711, 34220, 521855, 6471002, 67945521, 621216192, 5047381560, 37014131440, 247994680648, 1533058025824, 8815083648488, 47465835030320, 240719591939480, 1155454041309504, 5271759063474612, 22947657099830664

Offset

57,2

Links

Michael De Vlieger, Table of n, a(n) for n = 57..10000

Formula

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

G.f.: x^57/(1-x)^58.

E.g.f.: x^57*exp(x)/57!. (End)

From Amiram Eldar, Dec 16 2020: (Start)

Sum_{n>=57} 1/a(n) = 57/56.

Sum_{n>=57} (-1)^(n+1)/a(n) = A001787(57)*log(2) - A242091(57)/56! = 4107282860161892352*log(2) - 82036835759177476046959075363324597249 / 28815676969304881656 = 0.9833156265... (End)

Mathematica

Binomial[Range[57, 75], 57] (* Harvey P. Dale, Jan 10 2013 *)

Prog

(Sage) [binomial(n, 57) for n in range(57, 75)] # Zerinvary Lajos, May 23 2009
(Magma) [Binomial(n, 57): n in [57..100]]; // Vincenzo Librandi, Feb 01 2018
(PARI) for(n=57, 80, print1(binomial(n, 57), ", ")) \\ G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A181280 A017774 A035724 * A280111 A281031 A225352

Adjacent sequences: A017718 A017719 A017720 * A017722 A017723 A017724

Keyword

nonn

Author

N. J. A. Sloane

Status

approved