1,2

Binomial transform of the triangle = A110813.

Eigensequence of the triangle = A001045

Inverse = a triangle with (1, -2, 4, -8, 16,...) in every column.

Triangle T(n,k), 0<=k<=n, given by [2,-2,0,0,0,0,0,0,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 08 2009]

Triangle read by rows, T(n,k) = 1 if (n = k); 2 if k = n-1, 0 otherwise.

By columns, (1, 2, 0, 0, 0,...) in every column.

T(n,k)=A097806(n,k)*2^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 08 2009]

First few rows of the triangle =

1;

2, 1;

0, 2, 1;

0, 0, 2, 1;

0, 0, 0, 2, 1;

0, 0, 0, 0, 2, 1;

0, 0, 0, 0, 0, 2, 1;

0, 0, 0, 0, 0, 0, 2, 1;

0, 0, 0, 0, 0, 0, 0, 2, 1;

...

Cf. A110813, A001045

Sequence in context: A067613 A058531 A093073 this_sequence A083650 A030204 A138514

Adjacent sequences: A156316 A156317 A156318 this_sequence A156320 A156321 A156322

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 07 2009