A084606 Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+2x+2x^2)^n.

1, 1, 2, 2, 1, 4, 8, 8, 4, 1, 6, 18, 32, 36, 24, 8, 1, 8, 32, 80, 136, 160, 128, 64, 16, 1, 10, 50, 160, 360, 592, 720, 640, 400, 160, 32, 1, 12, 72, 280, 780, 1632, 2624, 3264, 3120, 2240, 1152, 384, 64, 1, 14, 98, 448, 1484, 3752, 7448, 11776, 14896, 15008, 11872

Offset: 0

Author

Paul D. Hanna, Jun 01 2003

Keywords

• nonn
• tabf

Examples

			Rows:
{1},
{1,2,2},
{1,4,8,8,4},
{1,6,18,32,36,24,8},
{1,8,32,80,136,160,128,64,16},
{1,10,50,160,360,592,720,640,400,160,32},
{1,12,72,280,780,1632,2624,3264,3120,2240,1152,384,64},
		

Crossrefs

Cf. A002426, A084600-A084605, A006139, A084608-A084615.

Programs

PARI

for(n=0,15, for(k=0,2*n,t=polcoeff((1+2*x+2*x^2)^n,k,x); print1(t",")); print(" "))