A017797 Binomial coefficients C(81,n).

1, 81, 3240, 85320, 1663740, 25621596, 324540216, 3477216600, 32164253550, 260887834350, 1878392407320, 12124169174520, 70724320184700, 375382930211100, 1823288518168200, 8144022047817960, 33594090947249085, 128447994798305325, 456703981505085600

Offset

0,2

Comments

Row 81 of A007318.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..81 (full sequence)

Formula

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

G.f.: (1+x)^81.

E.g.f.: 1F1(-81; 1; -x), where 1F1 is the confluent hypergeometric function. (End)

Maple

seq(binomial(81, n), n=0..81); # Nathaniel Johnston, Jun 24 2011

Mathematica

Binomial[81, Range[0, 81]] (* G. C. Greubel, Nov 15 2018 *)

Prog

(Sage) [binomial(81, n) for n in range(16)] # Zerinvary Lajos, May 29 2009
(PARI) vector(81, n, n--; binomial(81, n)) \\ G. C. Greubel, Nov 15 2018
(Magma) [Binomial(81, n): n in [0..81]]; // G. C. Greubel, Nov 15 2018
(GAP) List([0..81], n -> Binomial(81, n)); # G. C. Greubel, Nov 15 2018

Crossrefs

Cf. A010926-A011001, A017765-A017796, A017798-A017816.

Sequence in context: A270343 A236894 A231768 * A205207 A254415 A017744

Adjacent sequences: A017794 A017795 A017796 * A017798 A017799 A017800

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane

Status

approved