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A129234
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Triangle read by rows: T(n,k) = n/k + k - 1 if n mod k = 0; otherwise T(n,k)=0 (1 <= k <= n).
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6
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1, 2, 2, 3, 0, 3, 4, 3, 0, 4, 5, 0, 0, 0, 5, 6, 4, 4, 0, 0, 6, 7, 0, 0, 0, 0, 0, 7, 8, 5, 0, 5, 0, 0, 0, 8, 9, 0, 5, 0, 0, 0, 0, 0, 9, 10, 6, 0, 0, 6, 0, 0, 0, 0, 10, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 12, 7, 6, 6, 0, 7, 0, 0, 0, 0, 0, 12, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 14, 8, 0, 0, 0, 0, 8, 0, 0, 0
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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G.f. = G(t,z) = Sum_{k>=1} t^k*z^k*(k-(k-1)*z^k)/(1-z^k)^2. - Emeric Deutsch, Apr 17 2007
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EXAMPLE
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First few rows of the triangle:
1;
2, 2;
3, 0, 3;
4, 3, 0, 4;
5, 0, 0, 0, 5;
6, 4, 4, 0, 0, 6;
7, 0, 0, 0, 0, 0, 7;
...
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MAPLE
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T:=proc(n, k) if n mod k = 0 then n/k+k-1 else 0 fi end: for n from 1 to 16 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form - Emeric Deutsch, Apr 17 2007
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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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