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A292158
Regular triangle in which the n-th row lists the least n-tuple of positive integers in which the sum of any two members is a square.
1
1, 1, 3, 2, 34, 47, 208, 224, 352, 737, 7442, 28658, 148583, 177458, 763442
OFFSET
1,3
LINKS
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, Square-Sum Pair Partitions, The College Mathematics Journal, Vol. 46, No. 4 (September 2015), pp. 264-269.
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. 25-29.
EXAMPLE
Triangle begins:
1;
1, 3;
2, 34, 47;
208, 224, 352, 737;
7442, 28658, 148583, 177458, 763442;
...
CROSSREFS
Sequence in context: A154332 A375409 A252595 * A303729 A296544 A136635
KEYWORD
nonn,tabl,more
AUTHOR
Michel Marcus, Sep 10 2017
STATUS
approved