A175534 First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.

3362, 3473, 4194, 4743, 5024, 5378, 5378, 5522, 5634, 6048, 6722, 6722, 6952, 7394, 7697, 8073, 8114, 8258, 8456, 8498, 8514, 8786, 9097, 9800, 10088, 10430, 10592, 10688, 10728, 11138, 11456, 11585, 11666, 11744, 11880, 12040, 12082, 12152

Offset

1,1

Comments

First 8 such quadruples are:

{{3362, 482, 359, 2}, {3473, 1288, 1016, 8},

{4194, 1282, 567, 162},{4743, 2482, 882, 18},

{5024, 2720, 1376, 305},{5378, 2018, 1346, 98},

{5378, 1346, 863, 98},{5522, 4082, 3314, 407}.

Links

Table of n, a(n) for n=1..38.

Zak Seidov, Quadruples a>b>c>d>0 with six square pairwise sums. I

Zak Seidov, Quadruples a>b>c>d>0 with six square pairwise sums. II

Zak Seidov, Quadruples a>b>c>d>0 with six square pairwise sums. III

Example

First quadruple is {3362, 482, 359, 2}. Six pairwise sums are all squares:
3362 + 482 = 62^2, 3362 + 359 = 61^2, 3362 + 2 = 58^2, 482 + 359 = 29^2, 482 + 2 = 22^2, 359 + 2 = 19^2.

Crossrefs

Sequence in context: A206965 A209090 A207132 * A233356 A035778 A108002

Adjacent sequences: A175531 A175532 A175533 * A175535 A175536 A175537

Keyword

nonn

Author

Zak Seidov, Jun 13 2010

Extensions

Some misprints corrected by Zak Seidov, Jun 13 2010

Status

approved