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A129185
Shift operator, left.
12
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
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
Sequence in context: A188020 A179828 A129184 * A283683 A118605 A175253
KEYWORD
nonn,tabf,easy,less
AUTHOR
Gary W. Adamson, Apr 01 2007
STATUS
approved