login
Square array A(x,y) = y-th natural number k for which A112049(k)=x and 0 if no such k exists; read by antidiagonals A(1,1), A(2,1), A(1,2), A(3,1), A(2,2), ...
16

%I #11 Feb 17 2014 23:46:42

%S 1,2,3,5,4,11,6,7,12,24,9,8,23,35,60,10,15,36,59,155,84,13,16,47,95,

%T 275,239,144,14,19,48,119,335,575,779,180,17,20,71,120,359,659,1499,

%U 2855,264,18,27,72,179,419,839,1535,4199,5279,420,21,28,83,204,504

%N Square array A(x,y) = y-th natural number k for which A112049(k)=x and 0 if no such k exists; read by antidiagonals A(1,1), A(2,1), A(1,2), A(3,1), A(2,2), ...

%C This is a permutation of natural numbers provided that the sequence A112046 contains only prime values [which is true] and every prime occurs infinitely many times there.

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%e The top left corner of the array:

%e 1, 2, 5, 6, 9, 10, ...

%e 3, 4, 7, 8, 15, 16, ...

%e 11, 12, 23, 36, 47, ...

%Y A112070(x, y) = 2*A(X, Y)+1. Transpose: A112061. Column 1: A112051. Row 1: A042963, Row 2: A112062, Row 3: A112063, Row 4: A112064, Row 5: A112065, Row 6: A112066, Row 7: A112067, Row 8: A112068, Row 9: A112069.

%Y Cf. also A227196.

%K nonn,tabl

%O 1,2

%A _Antti Karttunen_, Aug 27 2005