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, 3, 2, 34, 47, 208, 224, 352, 737, 7442, 28658, 148583, 177458, 763442

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, 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

Cf. A115040, A195854.

Sequence in context: A353123 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