

A292158


Regular triangle in which the nth row lists the least ntuple of positive integers in which the sum of any two members is a square.


0



1, 1, 3, 2, 34, 47, 208, 224, 352, 737, 7442, 28658, 148583, 177458, 763442
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


LINKS

Table of n, a(n) for n=1..15.
Ajai Choudhry, Sextuples of integers whose sums in pairs are squares, Int. J. Number Theory, 11, 543 (2015).
Gordon Hamilton, Kiran S. Kedlaya, and Henri Picciotto, SquareSum Pair Partitions, The College Mathematics Journal, Vol. 46, No. 4 (September 2015), pp. 264269.
NRICH enriching mathematics, Pair Squares
Carlos Rivera, Problem 70. Set of integers whose sum of any two is a perfect square, The Prime Puzzles and Problems Connection.
A. R. Thatcher, Five Integers Which Sum in Pairs to Squares, The Mathematical Gazette, Vol. 62, No. 419 (Mar., 1978), pp. 2529.


EXAMPLE

Triangle begins:
1;
1, 3;
2, 34, 47;
208, 224, 352, 737;
7442, 28658, 148583, 177458, 763442;
...


CROSSREFS

Cf. A195854.
Sequence in context: A181994 A154332 A252595 * A303729 A296544 A136635
Adjacent sequences: A292155 A292156 A292157 * A292159 A292160 A292161


KEYWORD

nonn,tabl,more


AUTHOR

Michel Marcus, Sep 10 2017


STATUS

approved



