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A214845
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Triangle read by rows: T(n,m) =(n/k)^(k-1) mod k, where k is the m-th divisor of n, 1 <= m <= tau(n).
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1
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0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 3, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 3, 4, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 4, 3, 8, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 3, 1, 2, 1, 0, 1, 0, 1, 1, 1, 5, 3, 4, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,33
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COMMENTS
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Row lengths are tau(n) = A000005(n).
The sequence of row sums starts: 0, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 7, 1, 3, 3, 1, 1, 9, 1, 5, 3, 3, 1, 17, 1, 3, 1, 7, 1, 16, 1, 1, 3, 3, 3, 26, 1, 3, 3, 19, 1, 12, 1, 7, 18, 3, 1, 27, 1, 23...
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LINKS
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EXAMPLE
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Triangle begins:
0;
0,1;
0,1;
0,0,1;
0,1;
0,1,1,1;
0,1;
0,0,0,1;
0,0,1;
0,1,1,1;
0,1;
0,0,1,3,2,1;
0,1;
0,1,1,1;
0,1,1,1;
0,0,0,0,1;
0,1;
0,1,0,3,4,1;
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MAPLE
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sort(convert(numtheory[divisors](n), list)) ;
k := op(m, %) ;
modp((n/k)^(k-1), k) ;
end proc:
for n from 1 to 30 do
for m from 1 to numtheory[tau](n) do
end do:
printf("\n") ;
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CROSSREFS
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KEYWORD
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nonn,tabf,less
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AUTHOR
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STATUS
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approved
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