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Search: id:A140340
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| A140340 |
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Square array read by rows: T(n,k) = 19*n^2+10*k^2-(n-1)*(20*(k-1)+10), with 14 columns. |
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+0
3
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| 29, 59, 109, 179, 269, 379, 509, 659, 829, 1019, 1229, 1459, 1709, 1979, 76, 86, 116, 166, 236, 326, 436, 566, 716, 886, 1076, 1286, 1516, 1766, 161, 151, 161, 191, 241, 311, 401, 511, 641, 791, 961, 1151, 1361, 1591, 284, 254, 244, 254, 284
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The original definition and comments were unclear: "A prime array is embedded in a binary quadratic equation that is a transform of 10x^2 -20x + 29. For example: 10a^2 + 19b^2, a = column 1:14, b = row 1:14, take all of the factors of row number b and remove them from all of the terms on the row, every number of the row will then be prime. a = 1, b = 10, S(1, 10) = 1910. 1910/2 = 955. 955/5 = 191 (a prime); a =11, b = 11, S(11,11) = 3509. 3509/11 = 319. 3509/11 = 29 (a prime); a = 7, b = 14, S(7,14) = 4214, 4214/2 = 2107, 2107/7 = 301, 301/7 = 43 {a prime)."
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EXAMPLE
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Array begins:
29, 59, 109, 179, 269, 379, 509, 659, 829, 1019, 1229, 1459, 1709, 1979
76, 86, 116, 166, 236, 326, 436, 566, 716, 886, 1076, 1286, 1516, 1766
161, 151, 161, 191, 241, 311, 401, 511, 641, 791, 961, 1151, 1361, 1591
284, 254, 244, 254, 284, 334, 404, 494, 604, 734, 884, 1054, 1244, 1454
445, 395, 365, 355, 365, 395, 445, 515, 605, 715, 845, 995, 1165, 1355
...
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MAPLE
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T:=(n, k) -> 19*n^2+10*k^2-(n-1)*(20*(k-1)+10);
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CROSSREFS
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Cf. A140754 (a very similar array), A140755.
Sequence in context: A158477 A036062 A161928 this_sequence A140754 A047078 A042672
Adjacent sequences: A140337 A140338 A140339 this_sequence A140341 A140342 A140343
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KEYWORD
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nonn,tabf
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AUTHOR
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Aldrich Stevens (aldrichstevens(AT)msn.com), May 29 2008
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EXTENSIONS
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Edited by Omar E. Pol (info(AT)polprimos.com) and N. J. A. Sloane (njas(AT)research.att.com), Jan 11 2009
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