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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

(list; graph; refs; listen; history; text; internal format)

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

(SageMath) [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

URL: https://oeis.org/A017793

⇱ A017793 - OEIS