A017791 Binomial coefficients C(75,n).

1, 75, 2775, 67525, 1215450, 17259390, 201359550, 1984829850, 16871053725, 125595622175, 828931106355, 4898229264825, 26123889412400, 126600387152400, 560658857389200, 2280012686716080, 8550047575185300, 29673694525643100, 95615237915961100

Offset

0,2

Comments

Row 75 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..75 (full sequence)

Formula

From G. C. Greubel, Nov 15 2018: (Start)

G.f.: (1+x)^75.

E.g.f.: 1F1(-75; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(75, n), n=0..75); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[75, Range[0, 75]] (* G. C. Greubel, Nov 15 2018 *)

Prog

(Sage) [binomial(75, n) for n in range(17)] # Zerinvary Lajos, May 28 2009
(PARI) vector(75, n, n--; binomial(75, n)) \\ G. C. Greubel, Nov 15 2018
(Magma) [Binomial(75, n): n in [0..75]]; // G. C. Greubel, Nov 15 2018
(GAP) List([0..75], n -> Binomial(75, n)); # G. C. Greubel, Nov 15 2018

Crossrefs

Cf. A010926-A011001, A017765-A017790, A017792-A017816.

Sequence in context: A285856 A202257 A278154 * A017738 A166725 A075913

Adjacent sequences: A017788 A017789 A017790 * A017792 A017793 A017794

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved