A108149 Triangle T(n,k), 0<=k<=n, read by rows, defined by: T(0,0)=1,T(n,k)= 0 if n<k, T(n,k) = (-1)^n*T(n-1,k) + T(n-1,k-1) + T(n-1,k+1).

1, -1, 1, 0, 0, 1, 0, 1, -1, 1, 1, 0, 1, 0, 1, -1, 2, -1, 2, -1, 1, 1, 0, 3, 0, 2, 0, 1, -1, 4, -3, 5, -2, 3, -1, 1, 3, 0, 6, 0, 6, 0, 3, 0, 1, -3, 9, -6, 12, -6, 9, -3, 4, -1, 1, 6, 0, 15, 0, 15, 0, 10, 0, 4, 0, 1, -6, 21, -15, 30, -15, 25, -10, 14, -4, 5, -1, 1, 15, 0, 36, 0, 40, 0, 29, 0, 15, 0, 5, 0, 1, -15, 51, -36, 76, -40, 69, -29, 44, -15, 20, -5

Offset

0,17

Comments

The n-th row sum = A005213(n).

Links

Table of n, a(n) for n=0..101.

Crossrefs

Cf. A005213.

Sequence in context: A178562 A232624 A287368 * A128583 A218854 A172303

Adjacent sequences: A108146 A108147 A108148 * A108150 A108151 A108152

Keyword

sign,tabl

Author

Gerald McGarvey, Jun 05 2005

Status

approved