A132122 a(n) = n * (n+1)^2 * (3*n^2 + 4*n + 2) / 12.

0, 3, 33, 164, 550, 1455, 3283, 6608, 12204, 21075, 34485, 53988, 81458, 119119, 169575, 235840, 321368, 430083, 566409, 735300, 942270, 1193423, 1495483, 1855824, 2282500, 2784275, 3370653, 4051908, 4839114, 5744175, 6779855

Offset: 0

Author

Reinhard Zumkeller, Aug 12 2007

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Crossrefs

Row sums of triangle A132121.

Programs

Maple

seq((1/12)*n*(n+1)^2*(3*n^2+4*n+2),n=0..32); # Emeric Deutsch, Aug 19 2007

Mathematica

LinearRecurrence[{6,-15,20,-15,6,-1},{0, 3, 33, 164, 550, 1455},31] (* James C. McMahon, Mar 04 2025 *)

Formula

G.f.: x*(3 + 15*x + 11*x^2 + x^3)/(1-x)^6. - Emeric Deutsch, Aug 19 2007