A014772 Squares of even hexagonal numbers.

36, 784, 4356, 14400, 36100, 76176, 142884, 246016, 396900, 608400, 894916, 1272384, 1758276, 2371600, 3132900, 4064256, 5189284, 6533136, 8122500, 9985600, 12152196, 14653584, 17522596, 20793600, 24502500, 28686736

Offset: 1

Author

Mohammad K. Azarian

Keywords

• nonn
• easy
• changed

Links

• Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Crossrefs

Cf. A014635.

Programs

Mathematica

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 *)

Formula

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

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). - Harvey P. Dale, May 11 2012

Extensions

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

More terms from Erich Friedman