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A324799
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Symmetric square array read by antidiagonals: T(n,k) = p(n)*p(k)-p(n*k), where p(i) = prime(i), for n>=1, k>=1.
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2
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2, 3, 3, 5, 2, 5, 7, 2, 2, 7, 11, 2, 2, 2, 11, 13, 4, -2, -2, 4, 13, 17, 2, 8, -4, 8, 2, 17, 19, 8, 4, 6, 6, 4, 8, 19, 23, 4, 12, 2, 24, 2, 12, 4, 23, 29, 8, 6, 12, 30, 30, 12, 6, 8, 29, 31, 16, 12, 2, 38, 18, 38, 2, 12, 16, 31, 37, 14, 32, 10, 36, 40, 40, 36, 10, 32, 14, 37, 41, 22, 18, 30, 56, 24, 62, 24, 56, 30, 18, 22, 41
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OFFSET
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1,1
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COMMENTS
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Mitrinovic et al. appear to assert that T(n,k) > 0 for all n,k, but presumably they should have said T(n,k) > 0 for all n+k >= 8.
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REFERENCES
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D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, 1996, Section VII.18, p. 247.
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LINKS
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EXAMPLE
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The first few antidiagonals are:
2,
3, 3,
5, 2, 5,
7, 2, 2, 7,
11, 2, 2, 2, 11,
13, 4, -2, -2, 4, 13,
17, 2, 8, -4, 8, 2, 17,
19, 8, 4, 6, 6, 4, 8, 19,
23, 4, 12, 2, 24, 2, 12, 4, 23,
29, 8, 6, 12, 30, 30, 12, 6, 8, 29,
31, 16, 12, 2, 38, 18, 38, 2, 12, 16, 31,
...
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CROSSREFS
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Main diagonal of the square array is A123914.
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KEYWORD
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AUTHOR
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STATUS
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approved
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