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A171232
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Array read by antidiagonals, T(n,k) = 2*(n/k) - 1, if n mod k = 0; otherwise, T(n,k) = 1.
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1
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1, 3, 1, 5, 1, 1, 7, 1, 1, 1, 9, 3, 1, 1, 1, 11, 1, 1, 1, 1, 1, 13, 5, 1, 1, 1, 1, 1, 15, 1, 3, 1, 1, 1, 1, 1, 17, 7, 1, 1, 1, 1, 1, 1, 1, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 9, 5, 3, 1, 1, 1, 1, 1, 1, 1, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 25, 11, 1, 1, 1, 1
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OFFSET
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1,2
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COMMENTS
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T(n,1): continued fraction expansion of coth(1).
T(n,2): continued fraction expansion of tan(1) = cot(pi/2 - 1).
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LINKS
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FORMULA
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EXAMPLE
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Array begins
1 1 1 1 1 ...
3 1 1 1 1 ...
5 1 1 1 1 ...
7 3 1 1 1 ...
9 1 1 1 1 ...
.............
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MATHEMATICA
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T[n_, k_] := If[Divisible[n, k], 2*(n/k) - 1, 1]; Table[T[n-k+1, k], {n, 1, 10}, {k, 1, n}] //Flatten (* Amiram Eldar, Jun 29 2020 *)
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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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