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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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refs;
listen;
history;
text;
internal format)
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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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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:
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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KEYWORD
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nonn,tabf,easy,less
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AUTHOR
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STATUS
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approved
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