A016767 a(n) = (3*n)^3.

0, 27, 216, 729, 1728, 3375, 5832, 9261, 13824, 19683, 27000, 35937, 46656, 59319, 74088, 91125, 110592, 132651, 157464, 185193, 216000, 250047, 287496, 328509, 373248, 421875, 474552, 531441, 592704

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..250

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

From Reinhard Zumkeller, Jan 29 2009: (Start)

a(n) = 27*A000578(n).

A020639(a(n)) = A010693(n), for n>0. (End)

a(n) = A155955(n,3) for n>2. - Reinhard Zumkeller, Jan 31 2009

G.f.: 27*x*(1+4*x+x^2)/(x-1)^4 . - R. J. Mathar, Jul 07 2017

E.g.f.: 27*x*(1 + 3*x + x^2)*exp(x). - G. C. Greubel, Sep 15 2018

a(n) = -a(-n) for all n in Z. - Michael Somos, Sep 16 2018

Example

G.f. = 27*x + 216*x^2 + 729*x^3 * 1728*x^4 + 3375*x^5 + 5832*x^6 + ... - Michael Somos, Sep 16 2018

Mathematica

Table[(3*n)^3, {n, 0, 30}] (* G. C. Greubel, Sep 15 2018 *)

Prog

(Magma) [(3*n)^3: n in [0..40]]; // Vincenzo Librandi, Jul 29 2011
(PARI) a(n)=27*n^3 \\ Charles R Greathouse IV, Jul 29 2011

Crossrefs

Sequence in context: A033544 A224874 A125111 * A224354 A224013 A059827

Adjacent sequences: A016764 A016765 A016766 * A016768 A016769 A016770

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved