A292158 - OEIS

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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, 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, 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, 3;

2, 34, 47;

208, 224, 352, 737;

7442, 28658, 148583, 177458, 763442;

...

CROSSREFS

Cf. A115040, A195854.

Sequence in context: A154332 A375409 A252595 * A303729 A296544 A136635

Adjacent sequences: A292155 A292156 A292157 * A292159 A292160 A292161

KEYWORD

nonn,tabl,more

AUTHOR

Michel Marcus, Sep 10 2017

STATUS

approved