A017771 Binomial coefficients C(55,n).

1, 55, 1485, 26235, 341055, 3478761, 28989675, 202927725, 1217566350, 6358402050, 29248649430, 119653565850, 438729741450, 1451182990950, 4353548972850, 11899700525790, 29749251314475, 68248282427325, 144079707346575, 280576272201225, 505037289962205

Offset

0,2

Comments

Row 55 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..55 (full sequence)

Formula

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

G.f.: (1+x)^55.

E.g.f.: 1F1(-55; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(55, n), n=0..55); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[55, Range[0, 55]] (* Harvey P. Dale, Feb 26 2013 *)

Prog

(Sage) [binomial(55, n) for n in range(56)] # Zerinvary Lajos, May 28 2009
(PARI) vector(55, n, n--; binomial(55, n)) \\ G. C. Greubel, Nov 13 2018
(Magma) [Binomial(55, n): n in [0..55]]; // G. C. Greubel, Nov 13 2018

Crossrefs

Cf. A010926-A011001, A017765-A017770, A017772-A017816.

Sequence in context: A134291 A157096 A264467 * A322502 A271796 A222836

Adjacent sequences: A017768 A017769 A017770 * A017772 A017773 A017774

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved