A017736 Binomial coefficients C(n,72).

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

Offset: 72

Author

N. J. A. Sloane

Keywords

• nonn

Links

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

Crossrefs

Cf. A001787, A242091.

Programs

Magma

[Binomial(n,72): n in [72..90]]; // G. C. Greubel, Nov 09 2018

Mathematica

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

PARI

for(n=72, 90, print1(binomial(n,72), ", ")) \\ G. C. Greubel, Nov 09 2018

Sage

[binomial(n, 72) for n in range(72,88)] # Zerinvary Lajos, May 23 2009

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)