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A236532
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Triangle T(n,k) read by rows: T(n,k) = floor(n*k/(n+k)), with 1 <= k <= n.
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1
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0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 3, 0, 1, 2, 2, 2, 3, 3, 0, 1, 2, 2, 3, 3, 3, 4, 0, 1, 2, 2, 3, 3, 3, 4, 4, 0, 1, 2, 2, 3, 3, 4, 4, 4, 5, 0, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 0, 1, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 0, 1, 2, 3, 3, 4, 4, 4, 5, 5
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listen;
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internal format)
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OFFSET
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1,10
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COMMENTS
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It appears that the least m such that T(m, n) = n-1 is given by A103505(n) for n>= 1. - Michel Marcus, Feb 25 2020
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
0
0 1
0 1 1
0 1 1 2
0 1 1 2 2
0 1 2 2 2 3
0 1 2 2 2 3 3
0 1 2 2 3 3 3 4
0 1 2 2 3 3 3 4 4
0 1 2 2 3 3 4 4 4 5
0 1 2 2 3 3 4 4 4 5 5
0 1 2 3 3 4 4 4 5 5 5 6
0 1 2 3 3 4 4 4 5 5 5 6 6
0 1 2 3 3 4 4 5 5 5 6 6 6 7
0 1 2 3 3 4 4 5 5 6 6 6 6 7 7
0 1 2 3 3 4 4 5 5 6 6 6 7 7 7 8
0 1 2 3 3 4 4 5 5 6 6 7 7 7 7 8 8
0 1 2 3 3 4 5 5 6 6 6 7 7 7 8 8 8 9
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PROG
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(Python)
for n in range(1, 21):
for k in range(1, n+1):
print n*k // (n+k),
#print
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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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