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A167990
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Elements in A126988 (by row) that are not 1.
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2
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0, 2, 0, 3, 0, 0, 4, 2, 0, 0, 5, 0, 0, 0, 0, 6, 3, 2, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 8, 4, 0, 2, 0, 0, 0, 0, 9, 0, 3, 0, 0, 0, 0, 0, 0, 10, 5, 0, 0, 2, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 6, 4, 3, 0, 2, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 7, 0, 0, 0, 0, 2, 0, 0, 0, 0, 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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T(n, k) = 0 if k = n or (n mod k) != 0, otherwise T(n, k) = n/k.
T(n, 1) = n - [n=1].
T(m*n, n) = m, m >= 2.
Sum_{k=1..n} T(n, k) = A039653(n). (End)
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EXAMPLE
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Table begins:
0;
2, 0;
3, 0, 0;
4, 2, 0, 0;
5, 0, 0, 0, 0;
6, 3, 2, 0, 0, 0;
7, 0, 0, 0, 0, 0, 0;
8, 4, 0, 2, 0, 0, 0, 0;
9, 0, 3, 0, 0, 0, 0, 0, 0;
10, 5, 0, 0, 2, 0, 0, 0, 0, 0;
11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
12, 6, 4, 3, 0, 2, 0, 0, 0, 0, 0, 0;
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MATHEMATICA
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Table[If[k==n || Mod[n, k]!=0, 0, n/k], {n, 15}, {k, n}]//Flatten (* G. C. Greubel, Jan 13 2023 *)
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PROG
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(Magma) [k eq n or (n mod k) ne 0 select 0 else n/k: k in [1..n], n in [1..15]]; // G. C. Greubel, Jan 13 2023
(SageMath)
if (k==n or n%k!=0): return 0
else: return n/k
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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