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A140340 Square array read by rows: T(n,k) = 19*n^2+10*k^2-(n-1)*(20*(k-1)+10), with 14 columns. +0
3
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)
OFFSET

1,1

COMMENT

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)."

EXAMPLE

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

...

MAPLE

T:=(n, k) -> 19*n^2+10*k^2-(n-1)*(20*(k-1)+10);

CROSSREFS

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

KEYWORD

nonn,tabf

AUTHOR

Aldrich Stevens (aldrichstevens(AT)msn.com), May 29 2008

EXTENSIONS

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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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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