A017770 Binomial coefficients C(54,n).

1, 54, 1431, 24804, 316251, 3162510, 25827165, 177100560, 1040465790, 5317936260, 23930713170, 95722852680, 343006888770, 1108176102180, 3245372870670, 8654327655120, 21094923659355, 47153358767970, 96926348578605, 183649923622620, 321387366339585

Offset

0,2

Comments

Row 54 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..54 (full sequence)

Formula

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

G.f.: (1+x)^54.

E.g.f.: 1F1(-54; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(54, n), n=0..54); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[54, Range[0, 54]] (* G. C. Greubel, Nov 13 2018 *)

Prog

(Sage) [binomial(54, n) for n in range(55)] # Zerinvary Lajos, May 23 2009
(PARI) vector(54, n, n--; binomial(54, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(54, n): n in [0..54]]; // G. C. Greubel, Nov 13 2018

Crossrefs

Cf. A010926-A011001, A017765-A017769, A017771-A017816.

Sequence in context: A160289 A341561 A079876 * A035722 A017717 A172501

Adjacent sequences: A017767 A017768 A017769 * A017771 A017772 A017773

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved