A017792 Binomial coefficients C(76,n).

1, 76, 2850, 70300, 1282975, 18474840, 218618940, 2186189400, 18855883575, 142466675900, 954526728530, 5727160371180, 31022118677225, 152724276564800, 687259244541600, 2840671544105280, 10830060261901380, 38223742100828400, 125288932441604200

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

(SageMath) [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