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A175534 First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums. 4
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 3 17:00 EST 2023. Contains 360044 sequences. (Running on oeis4.)