A017788 Binomial coefficients C(72,n).

1, 72, 2556, 59640, 1028790, 13991544, 156238908, 1473109704, 11969016345, 85113005120, 536211932256, 3022285436352, 15363284301456, 70907466006720, 298824321028320, 1155454041309504, 4116305022165108, 13559593014190944, 41432089765583440

Offset

0,2

Comments

Row 72 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..72 (full sequence)

Formula

From G. C. Greubel, Nov 15 2018: (Start)

G.f.: (1+x)^72.

E.g.f.: 1F1(-72; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(72, n), n=0..72); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[72, Range[0, 72]] (* G. C. Greubel, Nov 15 2018 *)

Prog

(Sage) [binomial(72, n) for n in range(17)] # Zerinvary Lajos, May 28 2009
(PARI) vector(72, n, n--; binomial(72, n)) \\ G. C. Greubel, Nov 15 2018
(Magma) [Binomial(72, n): n in [0..72]]; // G. C. Greubel, Nov 15 2018
(GAP) List([0..72], n -> Binomial(72, n)); # G. C. Greubel, Nov 15 2018

Crossrefs

Cf. A010926-A011001, A017765-A017787, A017789-A017816.

Sequence in context: A014704 A260582 A035118 * A035731 A035803 A017735

Adjacent sequences: A017785 A017786 A017787 * A017789 A017790 A017791

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved