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

0,7

Comments

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

Links

Table of n, a(n) for n=0..80.

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

Example

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

Crossrefs

Sequence in context: A108561 A174626 A264909 * A079531 A182882 A134178

Adjacent sequences: A104576 A104577 A104578 * A104580 A104581 A104582

Keyword

easy,nonn,tabl

Author

Paul Barry, Mar 16 2005

Status

approved