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A017791 Binomial coefficients C(75,n). 3
1, 75, 2775, 67525, 1215450, 17259390, 201359550, 1984829850, 16871053725, 125595622175, 828931106355, 4898229264825, 26123889412400, 126600387152400, 560658857389200, 2280012686716080, 8550047575185300, 29673694525643100, 95615237915961100 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 1 02:43 EST 2021. Contains 341732 sequences. (Running on oeis4.)