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A251715 Array: A251637(n,k) / prime(n).

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%I A251715 #19 Dec 16 2014 16:32:15
%S A251715 1,1,2,3,3,4,2,1,5,7,2,5,5,2,3,3,1,1,7,4,6,3,1,3,3,2,7,8,2,1,2,5,4,4,
%T A251715 9,5,3,1,5,5,4,13,9,13,10,3,1,5,2,7,9,7,17,11,11,2,1,5,3,4,4,7,9,11,
%U A251715 15,13,2,1,2,2,7,7,9,6,6,13,17,14,3,1,3,5
%N A251715 Array: A251637(n,k) / prime(n).
%C A251715 T(n,k) = A251637(n,k) / A000040(n);
%C A251715 A251637(n,k) = T(n,k) * A000040(n);
%C A251715 for n > 2: T(n,1) = A251619(n);
%C A251715 conjecture: A098550 is a permutation of the positive integers iff all rows are permutations of the positive integers.
%C A251715 For third column with row numbers > 4: see A251542. - _Reinhard Zumkeller_, Dec 16 2014
%H A251715 Reinhard Zumkeller, <a href="/A251715/b251715.txt">Rows n = 1..125 of triangle, flattened</a>
%e A251715 .   n   p |  A251637(n,k) / p, with p = prime(n), n = 1..25, k = 1..20
%e A251715 .  -------+-----------------------------------------------------------
%e A251715 .   1   2 |  1 2 4 7 3  6 8  5 10 11 13 14 16  9 12 17 18 15 19 21 22
%e A251715 .   2   3 |  1 3 5 2 4  7 9 13 11 15 17  6  8 12 10 21 14 19 23 16 25
%e A251715 .   3   5 |  3 1 5 7 2  4 9 17 11 13  6 19  8 10 23 15 12 35 21 14 16
%e A251715 .   4   7 |  2 5 1 3 4 13 7  9  6  8 11 17 19 23 25 15 10 12 47 29 21
%e A251715 .   5  11 |  2 1 3 5 4  9 7  6  8 15 13 11 17 10 12 21 19 14 16 25 18
%e A251715 .   6  13 |  3 1 2 5 7  4 9  6  8 15 11 10 12 17 13 19 21 14 16 23 25
%e A251715 .   7  17 |  3 1 5 2 4  7 9  6 11  8 10 15 13 12 14 21 17 16 19 23 25
%e A251715 .   8  19 |  2 1 5 3 7  4 9  6  8 11 13 10 15 12 14 21 17 19 23 16 25
%e A251715 .   9  23 |  3 1 5 2 7  4 6  9  8 11 13 15 10 12 19 17 14 21 16 25 18
%e A251715 .  10  29 |  3 1 2 5 7  4 6  9  8 11 13 10 15 12 17 14 21 19 16 25 23
%e A251715 .  11  31 |  2 1 3 5 4  7 9  6 11 13  8 15 10 12 17 19 14 21 16 23 18
%e A251715 .  12  37 |  2 1 3 5 4  7 6  9  8 11 15 10 17 13 12 23 19 21 14 16 18
%e A251715 .  13  41 |  3 1 2 5 4  7 6  9 11  8 10 13 15 12 17 14 21 19 16 25 23
%e A251715 .  14  43 |  2 1 3 5 4  7 9  6 11  8 10 15 13 12 14 19 17 21 16 23 18
%e A251715 .  15  47 |  2 1 7 3 5  4 6  9 11  8 10 13 15 12 17 19 14 21 16 23 25
%e A251715 .  16  53 |  2 1 5 3 4  7 6  9  8 11 13 10 15 12 17 14 21 19 16 18 25
%e A251715 .  17  59 |  2 1 3 5 4  7 6  9 11  8 13 10 15 17 12 14 19 21 16 23 18
%e A251715 .  18  61 |  2 1 7 3 5  4 6  9 11  8 13 10 15 12 17 14 19 21 16 23 18
%e A251715 .  19  67 |  3 1 5 2 4  7 9  6  8 11 13 10 15 12 17 14 19 21 16 23 18
%e A251715 .  20  71 |  2 1 3 5 4  7 6  9  8 11 10 15 13 12 17 14 19 21 16 23 18
%e A251715 .  21  73 |  2 1 5 3 4  7 6  9  8 11 10 13 15 12 17 14 19 21 16 23 18
%e A251715 .  22  79 |  2 1 3 5 4  7 6  9  8 11 13 10 15 12 14 17 19 21 16 23 18
%e A251715 .  23  83 |  3 1 7 2 5  4 6  9 11  8 13 10 15 12 17 19 14 21 16 23 18
%e A251715 .  24  89 |  2 1 3 5 4  7 6  9  8 11 13 10 15 12 17 14 21 19 16 23 18
%e A251715 .  25  97 |  3 1 7 2 5  4 6  9 11  8 10 13 15 12 17 14 19 21 16 23 18 .
%e A251715 .  --------------------------------------------------------------------
%e A251715 See table A251637 for T(n,k) * p.
%Y A251715 Cf. A098550, A251637, A000040, A251619.
%K A251715 nonn,tabl
%O A251715 1,3
%A A251715 _Reinhard Zumkeller_, Dec 09 2014
%E A251715 Wrong data replaced; _Reinhard Zumkeller_, Dec 15 2014