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

0,9

Comments

Equal to A174014*A130595 as infinite lower triangular matrices.

Links

Table of n, a(n) for n=0..65.

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).

Example

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

Sequence in context: A128206 A371417 A103294 * A079680 A037855 A037873

Adjacent sequences: A198376 A198377 A198378 * A198380 A198381 A198382

Keyword

sign,easy,tabl

Author

Philippe Deléham, Oct 28 2011

Status

approved