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A126571
Triangle where the m-th term in row n is the n-th integer from among those positive integers coprime to m.
6
1, 2, 3, 3, 5, 4, 4, 7, 5, 7, 5, 9, 7, 9, 6, 6, 11, 8, 11, 7, 17, 7, 13, 10, 13, 8, 19, 8, 8, 15, 11, 15, 9, 23, 9, 15, 9, 17, 13, 17, 11, 25, 10, 17, 13, 10, 19, 14, 19, 12, 29, 11, 19, 14, 23, 11, 21, 16, 21, 13, 31, 12, 21, 16, 27, 12, 12, 23, 17, 23, 14, 35, 13, 23, 17, 29, 13, 35
OFFSET
1,2
LINKS
Michael De Vlieger, Table of n, a(n) for n = 1..11325 (rows 1 <= n <= 150).
EXAMPLE
The fifth positive integer coprime to 1 is 5. The fifth positive integer coprime to 2 is 9. The fifth positive integer coprime to 3 is 7. The fifth positive integer coprime to 4 is 9. And the fifth positive integer coprime to 5 is 6. So row 5 of the triangle is (5,9,7,9,6).
From Michael De Vlieger, Aug 21 2017: (Start)
Triangle begins:
1
2 3
3 5 4
4 7 5 7
5 9 7 9 6
6 11 8 11 7 17
7 13 10 13 8 19 8
8 15 11 15 9 23 9 15
9 17 13 17 11 25 10 17 13
10 19 14 19 12 29 11 19 14 23
11 21 16 21 13 31 12 21 16 27 12
12 23 17 23 14 35 13 23 17 29 13 35
(End)
MATHEMATICA
f[m_, n_] := Block[{k = 0, c = n}, While[c > 0, k++; While[GCD[k, m] > 1, k++ ]; c--; ]; k]; Flatten@Table[f[m, n], {n, 12}, {m, n}] (* Ray Chandler, Dec 29 2006 *)
CROSSREFS
Sequence in context: A268087 A375465 A257004 * A354940 A210874 A244796
KEYWORD
nonn,tabl
AUTHOR
Leroy Quet, Dec 28 2006
EXTENSIONS
Extended by Ray Chandler, Dec 29 2006
STATUS
approved