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A066799
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Square array read by antidiagonals of eventual period of powers of k mod n; period of repeating digits of 1/n in base k.
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4
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1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 1, 1, 1, 2, 1, 4, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 6, 1, 1, 1, 1, 1, 4, 1, 6, 1, 1, 4, 1, 1, 1, 1, 1, 4, 1, 2, 2, 3, 4, 10, 1, 1, 1, 2, 1, 2, 2, 1, 1, 6, 2, 5, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 5, 2, 12
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,9
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FORMULA
| T(n, k)=T(n, k-n) if k>n. T(n, n)=T(n, n+1)=1. T(n, n-1)=2.
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EXAMPLE
| Rows start: 1,1,1,1,1...; 1,1,1,1,1...; 1,2,1,1,2...; 1,1,2,1,1; 1,4,4,2,1... T(3,2)=2 since the powers of 2 become 1,2,1,2,1,2... mod 3 with period 2. T(4,2)=1 since the powers of 2 become 1,2,0,0,0,0... mod 4 with eventual period 1.
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CROSSREFS
| Columns are A000012, A007733, A007734, A007735, A007736, A007737, A007738, A007739, A007740, A007732. A002322 is the highest value in each row and the lowest common mulitiple of each row, while the number of distinct values in each row is A066800.
Sequence in context: A193582 A091887 A144871 * A037832 A170977 A039737
Adjacent sequences: A066796 A066797 A066798 * A066800 A066801 A066802
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KEYWORD
| nonn,tabl,base
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Dec 20 2001
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