%I #13 Jul 30 2015 15:00:12

%S 36,784,4356,14400,36100,76176,142884,246016,396900,608400,894916,

%T 1272384,1758276,2371600,3132900,4064256,5189284,6533136,8122500,

%U 9985600,12152196,14653584,17522596,20793600,24502500,28686736

%N Squares of even hexagonal numbers.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1).

%F G.f.: 4*x*(9+151*x+199*x^2+25*x^3)/(1-x)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009]

%F a(1)=36, a(2)=784, a(3)=4356, a(4)=14400, a(5)=36100, a(n)=5*a(n-1)- 10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a(n-5) [From Harvey P. Dale, May 11 2012]

%t Take[Table[n(2n-1),{n,60}],{2,-1,2}]^2 (* or *) LinearRecurrence[ {5,-10,10,-5,1},{36,784,4356,14400,36100},30](* _Harvey P. Dale_, May 11 2012 *)

%Y Cf. A014635.

%K nonn,easy

%O 1,1

%A _Mohammad K. Azarian_

%E G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009.

%E More terms from _Erich Friedman_.