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

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 78 of A007318.

Links

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

Crossrefs

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

Programs

GAP

List([0..78], n -> Binomial(78,n)); # G. C. Greubel, Nov 15 2018

Magma

[Binomial(78,n): n in [0..78]]; // G. C. Greubel, Nov 15 2018

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 *)

PARI

vector(78, n, n--; binomial(78,n)) \\ G. C. Greubel, Nov 15 2018

Sage

[binomial(78, n) for n in range(17)] # Zerinvary Lajos, May 29 2009

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)