A017782 Binomial coefficients C(66,n).

1, 66, 2145, 45760, 720720, 8936928, 90858768, 778789440, 5743572120, 37014131440, 210980549208, 1074082795968, 4922879481520, 20448884000160, 77413632286320, 268367258592576, 855420636763836, 2515943049305400, 6848956078664700

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 66 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..66 (full sequence)

Crossrefs

Cf. A010926-A011001, A017765-A017781, A017783-A017816.

Programs

Magma

[Binomial(66,n): n in [0..66]]; // G. C. Greubel, Nov 14 2018

Maple

seq(binomial(66,n), n=0..66); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[66, Range[0,66]] (* G. C. Greubel, Nov 14 2018 *)

PARI

vector(66, n, n--; binomial(66,n)) \\ G. C. Greubel, Nov 14 2018

Sage

[binomial(66, n) for n in range(18)] # Zerinvary Lajos, May 28 2009

Formula

From G. C. Greubel, Nov 14 2018: (Start)

G.f.: (1+x)^66.

E.g.f.: 1F1(-66; 1; -x), where 1F1 is the confluent hypergeometric function. (End)