A017786 Binomial coefficients C(70,n).

1, 70, 2415, 54740, 916895, 12103014, 131115985, 1198774720, 9440350920, 65033528560, 396704524216, 2163842859360, 10638894058520, 47465835030320, 193253756909160, 721480692460864, 2480089880334220, 7877932561061640, 23196134763125940

Offset

0,2

Comments

Row 70 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..70 (full sequence)

Formula

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

G.f.: (1+x)^70.

E.g.f.: 1F1(-70; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(70, n), n=0..70); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[70, Range[0, 70]] (* G. C. Greubel, Nov 14 2018 *)

Prog

(Sage) [binomial(70, n) for n in range(17)] # Zerinvary Lajos, May 28 2009
(PARI) vector(70, n, n--; binomial(70, n)) \\ G. C. Greubel, Nov 14 2018
(Magma) [Binomial(70, n): n in [0..70]]; // G. C. Greubel, Nov 14 2018

Crossrefs

Cf. A010926-A011001, A017765-A017785, A017787-A017816.

Sequence in context: A006437 A067643 A285170 * A035730 A017733 A197192

Adjacent sequences: A017783 A017784 A017785 * A017787 A017788 A017789

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved