A017784 Binomial coefficients C(68,n).

1, 68, 2278, 50116, 814385, 10424128, 109453344, 969443904, 7392009768, 49280065120, 290752384208, 1533058025824, 7282025622664, 31368725759168, 123234279768160, 443643407165376, 1469568786235308, 4495151581425648, 12736262814039336

Offset

0,2

Comments

Row 68 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..68 (full sequence)

Formula

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

G.f.: (1+x)^68.

E.g.f.: 1F1(-68; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(68, n), n=0..68); # Nathaniel Johnston, Jun 24 2011

Mathematica

Table[Binomial[68, n], {n, 0, 68}] (* Wesley Ivan Hurt, Mar 04 2014 *)

Prog

(Sage) [binomial(68, n) for n in range(18)] # Zerinvary Lajos, May 28 2009
(PARI) vector(68, n, n--; binomial(68, n)) \\ G. C. Greubel, Nov 14 2018
(Magma) [Binomial(68, n): n in [0..68]]; // G. C. Greubel, Nov 14 2018

Crossrefs

Cf. A010926-A011001, A017765-A017783, A017785-A017816.

Sequence in context: A231106 A228332 A220722 * A035802 A035729 A017731

Adjacent sequences: A017781 A017782 A017783 * A017785 A017786 A017787

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved