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A017792 Binomial coefficients C(76,n). 3
1, 76, 2850, 70300, 1282975, 18474840, 218618940, 2186189400, 18855883575, 142466675900, 954526728530, 5727160371180, 31022118677225, 152724276564800, 687259244541600, 2840671544105280, 10830060261901380, 38223742100828400, 125288932441604200 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row 76 of Pascal's triangle (A007318).

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..76 (full sequence)

FORMULA

G.f.: (x+1)^76.

E.g.f.: 1F1(-74; 1; -x), where 1F1 is the confluent hypergeometric function. - G. C. Greubel, Nov 15 2018

MAPLE

seq(binomial(76, n), n=0..76); # Nathaniel Johnston, Jun 24 2011

MATHEMATICA

Binomial[76, Range[0, 18]] (* Alonso del Arte, Dec 01 2017 *)

PROG

(Sage) [binomial(76, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

(PARI) Vec((x+1)^76) \\ Iain Fox, Dec 01 2017

(PARI) vector(76, n, n--; binomial(76, n)) \\ G. C. Greubel, Nov 15 2018

(MAGMA) [Binomial(76, n): n in [0..76]]; // G. C. Greubel, Nov 15 2018

(GAP) List([0..76], n -> Binomial(76, n)); # G. C. Greubel, Nov 15 2018

CROSSREFS

Cf. A010926-A011001, A017765-A017791, A017793-A017816.

Sequence in context: A188400 A205918 A261574 * A035733 A035804 A017739

Adjacent sequences:  A017789 A017790 A017791 * A017793 A017794 A017795

KEYWORD

nonn,fini,full,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 10 02:39 EDT 2020. Contains 333392 sequences. (Running on oeis4.)