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A129185
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Shift operator, left.
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12
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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
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=1..97.
Franck Ramaharo, A bracket polynomial for 2-tangle shadows, arXiv:2002.06672 [math.CO], 2020.
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FORMULA
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As an infinite matrix, all 1's in the superdiagonal and the rest zeros.
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EXAMPLE
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First few rows of the matrix are:
0, 1;
0, 0, 1;
0, 0, 0, 1;
0, 0, 0, 0, 1;
...
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MATHEMATICA
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Table[PadLeft[{1}, n, 0], {n, 20}]//Flatten//Rest (* Harvey P. Dale, Jul 11 2020 *)
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CROSSREFS
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Cf. A129184, A129186.
Sequence in context: A188020 A179828 A129184 * A283683 A118605 A175253
Adjacent sequences: A129182 A129183 A129184 * A129186 A129187 A129188
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KEYWORD
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nonn,tabf,easy,less
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AUTHOR
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Gary W. Adamson, Apr 01 2007
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STATUS
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approved
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