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A016766 (3*n)^2. 15
0, 9, 36, 81, 144, 225, 324, 441, 576, 729, 900, 1089, 1296, 1521, 1764, 2025, 2304, 2601, 2916, 3249, 3600, 3969, 4356, 4761, 5184, 5625, 6084, 6561, 7056, 7569, 8100, 8649, 9216, 9801, 10404, 11025, 11664, 12321, 12996, 13689, 14400, 15129, 15876 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of edges of the complete tripartite graph of order 6n, K_n, n, 4n. - Roberto E. Martinez II, Jan 07 2002

Area of a square with side 3n. - Wesley Ivan Hurt, Sep 24 2014

LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

a(n) = 9*n^2 = 9 * A000290(n). - Omar E. Pol, Dec 11 2008

a(n) = 3 * A033428(n). - Omar E. Pol, Dec 13 2008

a(n) = a(n-1) + 9*(2*n-1) (with a(0) = 0). - Vincenzo Librandi, Nov 19 2010

G.f.: -9*x*(1+x)/(x-1)^3; a(n) = 3*a(n-1)-3*a(n-2)+a(n-3), n>3; a(n) = A000290(A008585(n)). - Wesley Ivan Hurt, Sep 24 2014

MAPLE

A016766:=n->(3*n)^2: seq(A016766(n), n=0..50); # Wesley Ivan Hurt, Sep 24 2014

MATHEMATICA

(3Range[0, 49])^2 (* Alonso del Arte, Sep 24 2014 *)

PROG

(Maxima) A016766(n):=(3*n)^2$

makelist(A016766(n), n, 0, 20); /* Martin Ettl, Nov 12 2012 */

(MAGMA) [(3*n)^2 : n in [0..50]]; // Wesley Ivan Hurt, Sep 24 2014

(PARI) a(n)=9*n^2 \\ Charles R Greathouse IV, Sep 28 2015

CROSSREFS

Numbers of the form 9n^2 + kn, for integer n: this sequence (k = 0), A132355 (k = 2), A185039 (k = 4), A057780 (k = 6), A218864 (k = 8). - Jason Kimberley, Nov 09 2012

Sequence in context: A068810 A077115 A073946 * A242538 A083353 A083014

Adjacent sequences:  A016763 A016764 A016765 * A016767 A016768 A016769

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Zerinvary Lajos, May 30 2006

STATUS

approved

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Last modified July 21 04:27 EDT 2017. Contains 289632 sequences.