A017785 Binomial coefficients C(69,n).

1, 69, 2346, 52394, 864501, 11238513, 119877472, 1078897248, 8361453672, 56672074888, 340032449328, 1823810410032, 8815083648488, 38650751381832, 154603005527328, 566877686933536, 1913212193400684, 5964720367660956, 17231414395464984

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 69 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..69 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017784, A017786-A017816.

Programs

Magma

[Binomial(69,n): n in [0..69]]; // G. C. Greubel, Nov 14 2018

Maple

seq(binomial(69,n), n=0..69); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[69,Range[0,20]] (* Harvey P. Dale, May 27 2012 *)

PARI

vector(69, n, n--; binomial(69,n)) \\ G. C. Greubel, Nov 14 2018

Sage

[binomial(69, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

Formula

From G. C. Greubel, Nov 14 2018: (Start)

G.f.: (1+x)^69.

E.g.f.: 1F1(-69; 1; -x), where 1F1 is the confluent hypergeometric function. (End)