A017793 Binomial coefficients C(77, n).

1, 77, 2926, 73150, 1353275, 19757815, 237093780, 2404808340, 21042072975, 161322559475, 1096993404430, 6681687099710, 36749279048405, 183746395242025, 839983521106400, 3527930788646880, 13670731806006660, 49053802362729780, 163512674542432600

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 77 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..77 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017792, A017794-A017816.

Programs

GAP

List([0..77], n -> Binomial(77,n)); # G. C. Greubel, Nov 15 2018

Magma

[Binomial(77,n): n in [0..77]]; // G. C. Greubel, Nov 15 2018

Maple

seq(binomial(77,n), n=0..77); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[77, Range[0, 20]] (* Alonso del Arte, Nov 19 2017 *)

PARI

Vec((x+1)^77) \\ Iain Fox, Nov 20 2017

PARI

vector(77, n, n--; binomial(77,n)) \\ G. C. Greubel, Nov 15 2018

Sage

[binomial(77, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

Formula

G.f.: (x + 1)^77. - Iain Fox, Nov 20 2017

E.g.f.: 1F1(-77; 1; -x), where 1F1 is the confluent hypergeometric function. - G. C. Greubel, Nov 15 2018