A017794 Binomial coefficients C(78,n).

1, 78, 3003, 76076, 1426425, 21111090, 256851595, 2641902120, 23446881315, 182364632450, 1258315963905, 7778680504140, 43430966148115, 220495674290430, 1023729916348425, 4367914309753280, 17198662594653540, 62724534168736440, 212566476905162380

Offset

0,2

Comments

Row 78 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..78 (full sequence)

Formula

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

G.f.: (1+x)^78.

E.g.f.: 1F1(-78; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(78, n), n=0..78); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[78, Range[0, 30]] (* Harvey P. Dale, Feb 01 2013 *)

Prog

(Sage) [binomial(78, n) for n in range(17)] # Zerinvary Lajos, May 29 2009
(PARI) vector(78, n, n--; binomial(78, n)) \\ G. C. Greubel, Nov 15 2018
(Magma) [Binomial(78, n): n in [0..78]]; // G. C. Greubel, Nov 15 2018
(GAP) List([0..78], n -> Binomial(78, n)); # G. C. Greubel, Nov 15 2018

Crossrefs

Cf. A010926-A011001, A017765-A017793, A017795-A017816.

Sequence in context: A133239 A210407 A146479 * A035734 A017741 A060562

Adjacent sequences: A017791 A017792 A017793 * A017795 A017796 A017797

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved