A101038 Inverse to sequence matrix for odd numbers.

1, -3, 1, 4, -3, 1, -4, 4, -3, 1, 4, -4, 4, -3, 1, -4, 4, -4, 4, -3, 1, 4, -4, 4, -4, 4, -3, 1, -4, 4, -4, 4, -4, 4, -3, 1, 4, -4, 4, -4, 4, -4, 4, -3, 1, -4, 4, -4, 4, -4, 4, -4, 4, -3, 1, 4, -4, 4, -4, 4, -4, 4, -4, 4, -3, 1, -4, 4, -4, 4, -4, 4, -4, 4, -4, 4, -3, 1, 4, -4, 4, -4

Offset

0,2

Comments

Riordan matrix ((1-x)^2/(1+x), x). Inverse matrix is A099375 Row sums yield (-1)^n*A040000. Diagonal sums are (-1)(2n+1)=(-1)^n*A005408.

Links

Table of n, a(n) for n=0..81.

Formula

Number triangle T(n, k)=if(k<=n, 4(-1)^(n-k)-3*0^(n-k)+C(1, n-k)-C(0, n-k), 0)

Example

Rows begin {1}, {-3,1}, {4,-3,1}, {-4,4,-3,1}, {4,-4,4,-3,1},...

Crossrefs

Sequence in context: A191818 A055171 A337209 * A064883 A090844 A008314

Adjacent sequences: A101035 A101036 A101037 * A101039 A101040 A101041

Keyword

easy,sign,tabl

Author

Paul Barry, Jan 22 2005

Status

approved