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A220415
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Table T(n,k)= floor(n/k)+ floor(k/n), n,k >0 read by antidiagonals.
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3
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2, 2, 2, 3, 2, 3, 4, 1, 1, 4, 5, 2, 2, 2, 5, 6, 2, 1, 1, 2, 6, 7, 3, 1, 2, 1, 3, 7, 8, 3, 2, 1, 1, 2, 3, 8, 9, 4, 2, 1, 2, 1, 2, 4, 9, 10, 4, 2, 1, 1, 1, 1, 2, 4, 10, 11, 5, 3, 2, 1, 2, 1, 2, 3, 5, 11
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OFFSET
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1,1
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LINKS
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FORMULA
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a(n) = floor((n-t*(t+1)/2)/((t*t+3*t+4)/2-n)) + floor(((t*t+3*t+4)/2-n)/(n-t*(t+1)/2)), where t=floor((-1+sqrt(8*n-7))/2).
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EXAMPLE
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The start of the sequence as triangle array read by rows:
2;
2,2;
3,2,3;
4,1,1,4;
5,2,2,2,5;
6,2,1,1,2,6;
...
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PROG
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(Python)
t=int((math.sqrt(8*n-7) - 1)/ 2)
a = n-t*(t+1)/2
b= (t*t+3*t+4)/2-n
m= int(a/b)+int(b/a)
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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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