A246766 Least number m such that there exist exactly n pairs of numbers (a,b), 0 < a < b < m, such that a+b, a+m, and b+m are all squares.

30, 120, 194, 282, 870, 1322, 1220, 1442, 2240, 3128, 3842, 3812, 5288, 5378, 6662, 7592, 8408, 6722, 10448, 10922, 12098, 10592, 15248, 17618, 16112, 18722, 20738, 21842, 26888, 29138, 26408, 20162, 28802, 27458, 36758, 30608, 44258, 44072, 33728

Offset

1,1

Comments

All terms are even.

Links

Zak Seidov, Table of n, a(n) for n = 1..150

Example

m=30: (a,b)=6,19; a+b=5^2, a+m=6^2, b+m=7^2;
m=120:
(a,b)=1,24; a+b=5^2, a+m=11^2, b+m=12^2;
(a,b)=24,76; a+b=10^2, a+m=12^2, b+m=14^2.

Crossrefs

Cf. A242445.

Sequence in context: A256649 A232778 A232775 * A112955 A244636 A290391

Adjacent sequences: A246763 A246764 A246765 * A246767 A246768 A246769

Keyword

nonn

Author

Zak Seidov, Sep 03 2014

Status

approved