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Search: id:A047896
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| A047896 |
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For given n, consider all 4-tuples P = (a,b,c,d) with P.P = n; let d = squared distance to the line OP from the closest point of Z^n (excluding the endpoints); sequence gives max_P d*n. |
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+0
3
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| 1, 1, 2, 3, 1, 2, 3, 0, 2, 4, 2, 3, 3, 3, 5, 0, 2, 5, 3, 4, 5, 6, 5, 0, 6, 4, 5, 3, 5, 9, 6, 0, 6, 8, 6, 8, 9, 8, 9, 0, 5, 6, 5, 8, 9, 11, 10, 0, 6, 11, 9, 4, 10, 11, 10, 0, 14, 9, 11, 11, 9, 11, 14, 0, 14, 11, 11, 8, 11, 19, 14, 0, 9, 11, 11, 8, 10, 14, 14, 0, 14, 10, 13, 20, 21
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OFFSET
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1,3
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COMMENT
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A form of generalized g.c.d. of 4 numbers.
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REFERENCES
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N. J. A. Sloane and V. Vaishampayan, in preparation, 2001.
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EXAMPLE
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n=10, best P is (1,1,2,2), closest point of Z^4 to OP is (0,0,1,1) at squared distance d = 2/5, so a(10) = 10*2/5 = 4.
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CROSSREFS
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Cf. A059804, A059774.
Adjacent sequences: A047893 A047894 A047895 this_sequence A047897 A047898 A047899
Sequence in context: A079087 A159956 A053839 this_sequence A073645 A082846 A117373
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com) and Vinay Vaishampayan (vinay(AT)research.att.com), Feb 27 2001
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