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

0,2

Comments

Row 77 of A007318.

Links

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

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

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 *)

Prog

(Sage) [binomial(77, n) for n in range(17)] # Zerinvary Lajos, May 28 2009
(PARI) Vec((x+1)^77) \\ Iain Fox, Nov 20 2017
(PARI) vector(77, n, n--; binomial(77, n)) \\ G. C. Greubel, Nov 15 2018
(Magma) [Binomial(77, n): n in [0..77]]; // G. C. Greubel, Nov 15 2018
(GAP) List([0..77], n -> Binomial(77, n)); # G. C. Greubel, Nov 15 2018

Crossrefs

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

Sequence in context: A219126 A289232 A225703 * A017740 A197193 A004378

Adjacent sequences: A017790 A017791 A017792 * A017794 A017795 A017796

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved