A017787 Binomial coefficients C(71,n).

1, 71, 2485, 57155, 971635, 13019909, 143218999, 1329890705, 10639125640, 74473879480, 461738052776, 2560547383576, 12802736917880, 58104729088840, 240719591939480, 914734449370024, 3201570572795084, 10358022441395860, 31074067324187580

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 71 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..71 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017786, A017788-A017816.

Programs

Magma

[Binomial(71,n): n in [0..71]]; // G. C. Greubel, Nov 14 2018

Maple

seq(binomial(71,n), n=0..71); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[71,Range[0,71]] (* Harvey P. Dale, Jun 15 2016 *)

PARI

vector(71, n, n--; binomial(71,n)) \\ G. C. Greubel, Nov 14 2018

Sage

[binomial(71, n) for n in range(17)] # Zerinvary Lajos, May 28 2009

Formula

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

G.f.: (1+x)^71.

E.g.f.: 1F1(-71; 1; -x), where 1F1 is the confluent hypergeometric function. (End)