A017789 Binomial coefficients C(73,n).

1, 73, 2628, 62196, 1088430, 15020334, 170230452, 1629348612, 13442126049, 97082021465, 621324937376, 3558497368608, 18385569737808, 86270750308176, 369731787035040, 1454278362337824, 5271759063474612, 17675898036356052, 54991682779774384

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 73 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..73 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017788, A017790-A017816.

Programs

GAP

List([0..73], n -> Binomial(73,n)); # G. C. Greubel, Nov 15 2018

Magma

[Binomial(73,n): n in [0..73]]; // G. C. Greubel, Nov 15 2018

Maple

seq(binomial(73,n), n=0..73); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[73, Range[0,73]] (* G. C. Greubel, Nov 15 2018 *)

PARI

vector(73, n, n--; binomial(73,n)) \\ G. C. Greubel, Nov 15 2018

Sage

[binomial(73, n) for n in range(17)] # Zerinvary Lajos, May 28 2005

Formula

From G. C. Greubel, Nov 15 2018: (Start)

G.f.: (1+x)^73.

E.g.f.: 1F1(-73; 1; -x), where 1F1 is the confluent hypergeometric function. (End)