A140166 Triangle read by rows, iterates of X * [1,0,0,0,...]; where X = an infinite bidiagonal matrix with [1,-2,1,-2,1,...] in the main diagonal, [1,1,1,...] in the subdiagonal and the rest zeros.

1, 1, 1, 1, -1, 1, 1, 3, 0, 1, 1, -5, 3, -2, 1, 1, 11, -2, 7, -1, 1, 1, -21, 9, -16, 6, -3, 1, 1, 43, -12, 41, -10, 12, -2, 1, 1, -85, 31, -94, 31, -34, 10, -4, 1, 1, 171, -54, 219, -63, 99, -24, 18, -3, 1

Offset

1,8

Comments

Row sums = A140165

Links

Table of n, a(n) for n=1..55.

Formula

Triangle read by rows, iterates of X * [1,0,0,0,...]; where X = an infinite bidiagonal matrix with [1,-2,1,-2,1,...] in the main diagonal, [1,1,1,...] in the subdiagonal and the rest zeros.

Example

First few rows of the triangle are:
1;
1, 1;
1, -1, 1;
1, 3, 0, 1;
1, -5, 3, -2, 1;
1, 11, -2, 7, -1, 1;
1, -21, 9, -16, 6, -3, 1;
1, 43, -12, 41, -10, 12, -2, 1;
1, -85, 31, -94, 31, -34, 10, -4, 1;
...

Crossrefs

Cf. A140165, A140167.

Sequence in context: A088512 A094921 A246522 * A242782 A011256 A294212

Adjacent sequences: A140163 A140164 A140165 * A140167 A140168 A140169

Keyword

sign,tabl

Author

Gary W. Adamson, May 10 2008

Status

approved