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Search: id:A118682
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| A118682 |
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A triangular factor function based on the modulo 10 last digit multiplication behavior of the primes ( modeled on Jacobi symbols and Legendre symbols). |
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+0
1
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| 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1
(list; table; graph; listen)
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OFFSET
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0,12
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COMMENT
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This functions gives an op-art pattern from the primes as: bout = Table[f[n, m], {n, 1, 60}, {m, 1, 60}]; ListDensityPlot[bout, Mesh -> False]
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FORMULA
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a(n,m) = If[(Mod[Prime[n]*Prime[m], 10] - 1 == 0) || (Mod[Prime[n]*Prime[m], 10] - 9 == 0), 1, If[(Mod[Prime[n]*Prime[m], 10] - 3 == 0) || (Mod[Prime[n]*Prime[m], 10] - 7 == 0), 2, 0]]
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EXAMPLE
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0
0, 1
0, 0, 0
0, 1, 0, 1
0, 2, 0, 2, 1
0, 1, 0, 1, 2, 1
0, 1, 0, 1, 2, 1, 1
0, 2, 0, 2, 1, 2, 2, 1
0, 1, 0, 1, 2, 1, 1, 2, 1
0, 2, 0, 2, 1, 2, 2, 1, 2, 1
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MATHEMATICA
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f[n_, m_] = If[(Mod[Prime[n]*Prime[m], 10] - 1 == 0) || (Mod[Prime[n]*Prime[m], 10] - 9 == 0), 1, If[(Mod[Prime[n]*Prime[m], 10] - 3 == 0) || (Mod[Prime[n]*Prime[m], 10] - 7 == 0), 2, 0]] a = Table[Table[f[n, m], {n, 1, m}], {m, 1, 10}] aout = Flatten[a]
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CROSSREFS
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Sequence in context: A112604 A072627 A069848 this_sequence A083054 A112300 A049239
Adjacent sequences: A118679 A118680 A118681 this_sequence A118683 A118684 A118685
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 19 2006
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