A119536 a(n) = 3*n^3 + 3*n.

0, 6, 30, 90, 204, 390, 666, 1050, 1560, 2214, 3030, 4026, 5220, 6630, 8274, 10170, 12336, 14790, 17550, 20634, 24060, 27846, 32010, 36570, 41544, 46950, 52806, 59130, 65940, 73254, 81090, 89466, 98400, 107910, 118014, 128730, 140076, 152070

Offset: 0

Author

Zerinvary Lajos, May 28 2006

Keywords

• easy
• nonn
• changed

Links

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

Programs

Maple

[seq (3*n^3+3*n,n=0..60)];

Mathematica

Table[3n^3+3n,{n,0,40}] (* or *) LinearRecurrence[{4,-6,4,-1},{0,6,30,90},40] (* Harvey P. Dale, Mar 19 2013 *)

Formula

a(n) = 3*A034262(n) = 6*A006003(n). - J. M. Bergot, Apr 16 2012

a(0)=0, a(1)=6, a(2)=30, a(3)=90, a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - Harvey P. Dale, Mar 19 2013