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A136521
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Triangle read by rows: (1, 2, 2, 2, ...) on the main diagonal and the rest zeros.
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3
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1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2
(list;
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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FORMULA
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By columns, (1, 0, 0, 0, ...) in leftmost column; all others are (2, 0, 0, 0, ...).
By rows, row 1 = 1, others = (n-1) zeros followed by "2".
T(n, k) = 2*[k=n] - [n=0].
Sum_{k=0..n} T(n, k) = A040000(n). (End)
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EXAMPLE
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First few rows of the triangle are:
1;
0, 2;
0, 0, 2;
0, 0, 0, 2;
0, 0, 0, 0, 2;
...
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MATHEMATICA
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Table[2*Boole[k==n] -Boole[n==0], {n, 0, 12}, {k, 0, n}]//Flatten (* G. C. Greubel, May 03 2021 *)
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PROG
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(Sage) flatten([[2*bool(k==n) -bool(n==0) for k in (0..n)] for n in (0..12)]) # G. C. Greubel, May 03 2021
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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