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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 (list; table; graph; refs; listen; history; text; internal format)
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.

LINKS

Table of n, a(n) for n=1..60.

Index entries for sequences that are permutations of the natural numbers

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: A066417 A227913 A079521 * A084933 A213900 A213648

Adjacent sequences:  A112057 A112058 A112059 * A112061 A112062 A112063

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Aug 27 2005

STATUS

approved

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Last modified April 24 01:26 EDT 2014. Contains 240947 sequences.