The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A255352 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A255352

List of quadruples (a,b,c,d) with a^4 + b^4 = c^4 + d^4, a < c < d < b, listed in order of the largest term b.
(history; published version)

#28 by OEIS Server at Tue Oct 24 03:23:56 EDT 2023

LINKS

Mia Müßig, <a href="/A255352/b255352_1.txt">Table of n, a(n) for n = 1..120000</a>

#27 by Alois P. Heinz at Tue Oct 24 03:23:56 EDT 2023

STATUS

proposed

approved

Discussion

Tue Oct 24

03:23

OEIS Server: Installed first b-file as b255352.txt.

#26 by Alois P. Heinz at Mon Oct 23 11:10:22 EDT 2023

STATUS

editing

proposed

Discussion

Mon Oct 23

11:38

Mia Muessig: I saw that the current b-file is "synthesized from the sequence entry", and thought I should give credit to the author who provided the sequence entry.

Tue Oct 24

03:23

Alois P. Heinz: terms from synthesized b-file are still in data ...

#25 by Alois P. Heinz at Mon Oct 23 11:10:06 EDT 2023

COMMENTS

See A018786 for the values of a^4 + b^4 = c^4 + d^4. See A255351 for the list of b-values, which are sufficient to reconstruct the quadruples (cf. inner loops of the PARI code). See A366703 for the quadruples which consist only of prime numbers.

See A366703 for the quadruples which consist only of prime numbers. - Mia Muessig, Oct 23 2023

#24 by Alois P. Heinz at Mon Oct 23 11:07:50 EDT 2023

LINKS

Mia Müßig, <a href="/A255352/b255352_1.txt">Table of n, a(n) for n = 1..120000</a> (terms 1..56 from M. F. Hasler)

STATUS

proposed

editing

Discussion

Mon Oct 23

11:08

Alois P. Heinz: there was no b-file before ...

#23 by Mia Muessig at Mon Oct 23 08:43:27 EDT 2023

STATUS

editing

proposed

#22 by Mia Muessig at Mon Oct 23 08:43:00 EDT 2023

COMMENTS

LINKS

Mia Muessig, Müßig, <a href="/A255352/b255352_1.txt">Table of n, a(n) for n = 1..120000</a> (terms 1..56 from M. F. Hasler)

Mia Muessig, Müßig, <a href="https://github.com/PhoenixSmaug/taxicab-numbers">Julia code for finding general taxicab numbers</a>

CROSSREFS

Cf. A018786, A255351, A366703.

STATUS

proposed

editing

#21 by Michel Marcus at Tue Oct 17 10:35:58 EDT 2023

STATUS

editing

proposed

#20 by Michel Marcus at Tue Oct 17 10:35:56 EDT 2023

KEYWORD

nonn,more,changed

STATUS

proposed

editing

#19 by Mia Muessig at Tue Oct 17 09:33:30 EDT 2023

STATUS

editing

proposed

Discussion

Tue Oct 17

10:08

Joerg Arndt: you may want to add the sequence where all of (a,b,c,d) are primes. The first four terms would be 7, 239, 157, 227.