A017736 Binomial coefficients C(n,72).

1, 73, 2701, 67525, 1282975, 19757815, 256851595, 2898753715, 28987537150, 260887834350, 2139280241670, 16141841823510, 112992892764570, 738799683460650, 4538340912686850, 26322377293583730

Offset

72,2

Links

Michael De Vlieger, Table of n, a(n) for n = 72..10000

Formula

From G. C. Greubel, Nov 09 2018: (Start)

G.f.: x^72/(1-x)^73.

E.g.f.: x^72*exp(x)/72!. (End)

From Amiram Eldar, Dec 17 2020: (Start)

Sum_{n>=72} 1/a(n) = 72/71.

Sum_{n>=72} (-1)^n/a(n) = A001787(72)*log(2) - A242091(72)/71! = 170005193383307227693056*log(2) - 46022884409847306847221270018040252900492883896208 / 390558581088689272677190773 = 0.9866575261... (End)

Mathematica

Binomial[Range[72, 90], 72] (* Harvey P. Dale, May 24 2015 *)

Prog

(Sage) [binomial(n, 72) for n in range(72, 88)] # Zerinvary Lajos, May 23 2009
(PARI) for(n=72, 90, print1(binomial(n, 72), ", ")) \\ G. C. Greubel, Nov 09 2018
(Magma) [Binomial(n, 72): n in [72..90]]; // G. C. Greubel, Nov 09 2018

Crossrefs

Cf. A001787, A242091.

Sequence in context: A332912 A361491 A017789 * A221826 A093273 A183540

Adjacent sequences: A017733 A017734 A017735 * A017737 A017738 A017739

Keyword

nonn

Author

N. J. A. Sloane

Status

approved