A017775 -id:A017775

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A017774

Binomial coefficients C(58,n).

+10
3

1, 58, 1653, 30856, 424270, 4582116, 40475358, 300674088, 1916797311, 10648873950, 52179482355, 227692286640, 891794789340, 3155581562280, 10142940735900, 29752626158640, 79960182801345, 197548686920970, 449972009097765, 947309492837400

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

OFFSET

0,2

COMMENTS

Row 58 of A007318.

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..58 (full sequence)

FORMULA

From G. C. Greubel, Nov 13 2018: (Start)

G.f.: (1+x)^58.

E.g.f.: 1F1(-58; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

MAPLE

seq(binomial(58, n), n=0..58); # Nathaniel Johnston, Jun 24 2011

MATHEMATICA

Binomial[58, Range[0, 58]] (* or *) With[{nmax = 58}, CoefficientList[ Series[Hypergeometric1F1[-58, 1, -x], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Nov 13 2018 *)

PROG

(Sage) [binomial(58, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

(PARI) vector(58, n, n--; binomial(58, n)) \\ G. C. Greubel, Nov 13 2018

(Magma) [Binomial(58, n): n in [0..58]]; // G. C. Greubel, Nov 13 2018

CROSSREFS

Cf. A010926-A011001, A017765-A017773, A017775-A017816.

KEYWORD

nonn,fini,full,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

A017776

Binomial coefficients C(60,n).

+10
3

1, 60, 1770, 34220, 487635, 5461512, 50063860, 386206920, 2558620845, 14783142660, 75394027566, 342700125300, 1399358844975, 5166863427600, 17345898649800, 53194089192720, 149608375854525, 387221678682300, 925029565741050, 2044802197953900

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

OFFSET

0,2

COMMENTS

Row 60 of A007318.

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..60 (full sequence)

FORMULA

From G. C. Greubel, Nov 13 2018: (Start)

G.f.: (1+x)^60.

E.g.f.: 1F1(-60; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

MAPLE

seq(binomial(60, n), n=0..60); # Nathaniel Johnston, Jun 24 2011

MATHEMATICA

Binomial[60, Range[0, 60]] (* G. C. Greubel, Nov 13 2018 *)

PROG

(Sage) [binomial(60, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

(PARI) vector(60, n, n--; binomial(60, n)) \\ G. C. Greubel, Nov 13 2018

(Magma) [Binomial(60, n): n in [0..60]]; // G. C. Greubel, Nov 13 2018