A104579 A Padovan-Jacobsthal convolution triangle.

1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 4, 3, 0, 1, 4, 3, 6, 4, 0, 1, 5, 12, 6, 8, 5, 0, 1, 6, 16, 24, 10, 10, 6, 0, 1, 13, 24, 34, 40, 15, 12, 7, 0, 1, 16, 53, 60, 60, 60, 21, 14, 8, 0, 1, 25, 72, 135, 120, 95, 84, 28, 16, 9, 0, 1, 42, 126, 200, 275, 210, 140, 112, 36, 18, 10, 0, 1, 57, 220, 381

Offset: 0

Author

Paul Barry, Mar 16 2005

Keywords

• easy
• nonn
• tabl

Comments

First column is A052947. Row sums are A077947. Diagonal sums are A052907.

Examples

			Rows begin {1},{0,1},{1,0,1},{2,2,0,1},{1,4,3,0,1},{4,3,6,4,0,1},..
		

Formula

Riordan array (1/(1-x^2-2x^3), x/(1-x^2-2x^3))

T(n,k) = T(n-1,k-1)+T(n-2,k)+2*T(n-3,k), T(0,0)=1, T(n,k)=0 if k>n or if k<0. - Philippe Deléham, Jan 08 2014