A215061 Triangle read by rows, e.g.f. exp(x*(z-1/2))*((exp(3*x/2)+2*cos(sqrt(3)*x/2))/3).

1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 4, 0, 0, 1, 0, 0, 10, 0, 0, 1, 1, 0, 0, 20, 0, 0, 1, 0, 7, 0, 0, 35, 0, 0, 1, 0, 0, 28, 0, 0, 56, 0, 0, 1, 1, 0, 0, 84, 0, 0, 84, 0, 0, 1, 0, 10, 0, 0, 210, 0, 0, 120, 0, 0, 1, 0, 0, 55, 0, 0, 462, 0, 0, 165, 0, 0, 1, 1, 0, 0

Offset: 0

Author

Peter Luschny, Aug 01 2012

Keywords

• nonn
• tabl

Comments

Matrix inverse is A215060.

Examples

			[0] [1]
[1] [0, 1]
[2] [0, 0, 1]
[3] [1, 0, 0, 1]
[4] [0, 4, 0, 0, 1]
[5] [0, 0, 10, 0, 0, 1]
[6] [1, 0, 0, 20, 0, 0, 1]
[7] [0, 7, 0, 0, 35, 0, 0, 1]
[8] [0, 0, 28, 0, 0, 56, 0, 0, 1]
[9] [1, 0, 0, 84, 0, 0, 84, 0, 0, 1]
		

Crossrefs

Cf. A215060, A215062, A215063, A215064, A215065.

Programs

Sage

def A215061_triangle(dim): # See A215060 for function 'triangle'.
    var('x, z')
    f = exp(x*(z-1/2))*((exp(3*x/2)+2*cos(sqrt(3)*x/2))/3)
    return triangle(f, dim)
A215061_triangle(12)