Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A112060
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
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, 275, 239, 144, 14, 19, 48, 119, 335, 575, 779, 180, 17, 20, 71, 120, 359, 659, 1499, 2855, 264, 18, 27, 72, 179, 419, 839, 1535, 4199, 5279, 420, 21, 28, 83, 204, 504
OFFSET
1,2
COMMENTS
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.
EXAMPLE
The top left corner of the array:
1, 2, 5, 6, 9, 10, ...
3, 4, 7, 8, 15, 16, ...
11, 12, 23, 36, 47, ...
CROSSREFS
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.
Cf. also A227196.
Sequence in context: A079521 A325549 A370895 * A084933 A355065 A213900
KEYWORD
nonn,tabl
AUTHOR
Antti Karttunen, Aug 27 2005
STATUS
approved