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Search: id:A082817
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| A082817 |
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Triangle (with distinct entries) read by rows in which row n contains n numbers whose product == -1 (mod n). |
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+0
6
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| 1, 3, 5, 2, 4, 7, 9, 11, 13, 17, 6, 8, 12, 14, 16, 19, 23, 25, 29, 31, 35, 10, 15, 18, 20, 22, 24, 36, 21, 27, 33, 37, 39, 41, 43, 49, 26, 28, 32, 34, 38, 40, 44, 46, 53, 47, 51, 57, 59, 61, 63, 67, 69, 71, 81, 30, 42, 45, 48, 50, 52, 54, 56, 58, 60, 65, 55, 73, 77, 79, 83, 85
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Obviously all members of the n-th group are coprime to n.
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EXAMPLE
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1
3 5
2 4 7
9 11 13 17
6 8 12 14 16
...
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PROGRAM
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(PARI) used = vector(1000); print(1); for (n = 2, 15, rowProd = 1; x = 2; for (k = 1, n - 1, while (used[x] || gcd(x, n) > 1, x = x + 1); print1(x); print1(" "); used[x] = 1; rowProd = rowProd*x; x = x + 1); while (used[x] || rowProd*x%n != n - 1, x = x + 1); print(x); used[x] = 1);
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CROSSREFS
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Cf. A082818, A082819, A082820, A082821.
Adjacent sequences: A082814 A082815 A082816 this_sequence A082818 A082819 A082820
Sequence in context: A131793 A065186 A081964 this_sequence A084753 A082822 A109313
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KEYWORD
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nonn,tabl
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 22 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Oct 05 2004
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