A129185 Shift operator, left.

0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0

Offset

1,1

Comments

Let A129185 = M, then M*V (V a vector), shifts V to the left. Example M*V, V = [1, 2, 3, ...] = [2, 3, 4, ...]. A129184 = right shift operator.

Links

Table of n, a(n) for n=1..97.

Franck Ramaharo, A bracket polynomial for 2-tangle shadows, arXiv:2002.06672 [math.CO], 2020.

Formula

As an infinite matrix, all 1's in the superdiagonal and the rest zeros.

Example

First few rows of the matrix:
  0, 1;
  0, 0, 1;
  0, 0, 0, 1;
  0, 0, 0, 0, 1;
  ...

Mathematica

Table[PadLeft[{1}, n, 0], {n, 20}]//Flatten//Rest (* Harvey P. Dale, Jul 11 2020 *)

Crossrefs

Cf. A129184, A129186.

Sequence in context: A188020 A179828 A129184 * A283683 A118605 A175253

Adjacent sequences: A129182 A129183 A129184 * A129186 A129187 A129188

Keyword

nonn,tabf,easy,less

Author

Gary W. Adamson, Apr 01 2007

Status

approved