A017791 Binomial coefficients C(75,n).

1, 75, 2775, 67525, 1215450, 17259390, 201359550, 1984829850, 16871053725, 125595622175, 828931106355, 4898229264825, 26123889412400, 126600387152400, 560658857389200, 2280012686716080, 8550047575185300, 29673694525643100, 95615237915961100

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 75 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..75 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017790, A017792-A017816.

Programs

GAP

List([0..75], n -> Binomial(75,n)); # G. C. Greubel, Nov 15 2018

Magma

[Binomial(75,n): n in [0..75]]; // G. C. Greubel, Nov 15 2018

Maple

seq(binomial(75,n), n=0..75); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[75, Range[0,75]] (* G. C. Greubel, Nov 15 2018 *)

PARI

vector(75, n, n--; binomial(75,n)) \\ G. C. Greubel, Nov 15 2018

Sage

[binomial(75, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

Formula

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

G.f.: (1+x)^75.

E.g.f.: 1F1(-75; 1; -x), where 1F1 is the confluent hypergeometric function. (End)