A112070 - OEIS

A112070

Square array A(x,y) = y-th odd number 2i+1 (i>=1) for which A112049(2i+1)=x, or 0 if no such i exists; read by descending antidiagonals.

3, 5, 7, 11, 9, 23, 13, 15, 25, 49, 19, 17, 47, 71, 121, 21, 31, 73, 119, 311, 169, 27, 33, 95, 191, 551, 479, 289, 29, 39, 97, 239, 671, 1151, 1559, 361, 35, 41, 143, 241, 719, 1319, 2999, 5711, 529, 37, 55, 145, 359, 839, 1679, 3071, 8399, 10559, 841, 43, 57

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OFFSET

1,1

COMMENTS

This is a permutation of odd numbers greater than unity provided that the sequence A112046 contains only prime values and every prime occurs infinitely many times there. Because the Jacobi symbol is multiplicative with respect to its modulus, it follows that if n occurs on row i and m occurs on row j, then n*m cannot occur before row min(i,j).

LINKS

Table of n, a(n) for n=1..57.

EXAMPLE

The top left corner of the array:

3,5,11,13,19,21,...

7,9,15,17,31,33,...

23,25,47,73,95,...

CROSSREFS

A(x, y) = 2*A112060(x, y)+1. Transpose: A112071. Column 1: A112052. Row 1: A047621, Row 2: A112072 Row 3: A112073, Row 4: A112074, Row 5: A112075, Row 6: A112076, Row 7: A112077, Row 8: A112078, Row 9: A112079.

Sequence in context: A022457 A066066 A241957 * A208643 A375345 A123252

Adjacent sequences: A112067 A112068 A112069 * A112071 A112072 A112073

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Aug 27 2005

STATUS

approved