A017765 Binomial coefficients C(49,n).

1, 49, 1176, 18424, 211876, 1906884, 13983816, 85900584, 450978066, 2054455634, 8217822536, 29135916264, 92263734836, 262596783764, 675248872536, 1575580702584, 3348108992991, 6499270398159, 11554258485616, 18851684897584, 28277527346376

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full
• easy

Comments

Row 49 of A007318.

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..49 (full sequence)

Crossrefs

Cf. A010926-A011001, A017766-A017816.

Programs

Magma

[Binomial(49,n): n in [0..49]]; // G. C. Greubel, Nov 13 2018

Maple

seq(binomial(49,n), n=0..49); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[49,Range[0,50]] (* Harvey P. Dale, Feb 17 2015 *)

PARI

vector(49, n, n--; binomial(49,n)) \\ G. C. Greubel, Nov 13 2018

Sage

[binomial(49, n) for n in range(50)] # Zerinvary Lajos, May 21 2009

Formula

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

G.f.: (1+x)^49.

E.g.f.: 1F1(-49; 1; -x), where 1F1 is the confluent hypergeometric function. (End)