A198379 Triangle T(n,k), read by rows, given by (0,1,-1,0,1,-1,0,1,-1,0,1,-1,...) DELTA (1,0,0,1,0,0,1,0,0,1,0,0,1,...) where DELTA is the operator defined in A084938.

1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 3, 1, 0, 0, -1, 0, 4, 1, 0, 0, 0, -4, 0, 5, 1, 0, 0, 0, 0, -10, 0, 6, 1, 0, 0, 0, 2, 0, -20, 0, 7, 1, 0, 0, 0, 0, 12, 0, -35, 0, 8, 1, 0, 0, 0, 0, 0, 42, 0, -56, 0, 9, 1

Offset: 0

Author

Philippe Deléham, Oct 28 2011

Keywords

• sign
• easy
• tabl

Comments

Equal to A174014*A130595 as infinite lower triangular matrices.

Examples

			Triangle begins :
1
0, 1
0, 1, 1
0, 0, 2, 1
0, 0, 0, 3, 1
0, 0, -1, 0, 4, 1
0, 0, 0, -4, 0, 5, 1
0, 0, 0, 0, -10, 0, 6, 1
		

Crossrefs

Cf. A174014, A174015, A174016

Formula

Sum_k>=0 T(n,k)= A174015(n).

Sum_k>=0 T(n,k)*2^k = A174016(n).

Sum_ {0<=k<=n} T(n,k)*(-1)^(n-k) = A168505(n).