|
Search: id:A050801
|
|
|
| A050801 |
|
Numbers n such that n^2 is expressible as the sum of two nonzero cubes in at least one way. |
|
+0
4
|
|
| 3, 4, 24, 32, 81, 98, 108, 168, 192, 228, 256, 312, 375, 500, 525, 588, 648, 671, 784, 847, 864, 1014, 1029, 1183, 1225, 1261, 1323, 1344, 1372, 1536, 1824, 2048, 2187, 2496, 2646, 2888, 2916, 3000, 3993, 4000, 4200, 4225, 4536, 4563, 4644, 4704, 5184, 5324
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Analogous solutions exist for the sum of two identical squares z^2 = 2.r^3 (e.g. 864^2 = 2.72^3). Values of 'z' are the terms in A033430, values of 'r' are the terms in A001105.
|
|
REFERENCES
|
"Game, Set and Math" by Ian Stewart, Chapter 8 'Close Encounters of the Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..612
|
|
EXAMPLE
|
E.g. 1183^2 = 65^3 + 104^3.
|
|
CROSSREFS
|
Cf. A050802, A000404, A033430, A001105.
Sequence in context: A032831 A047180 A051394 this_sequence A103093 A124632 A048091
Adjacent sequences: A050798 A050799 A050800 this_sequence A050802 A050803 A050804
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 1999.
|
|
EXTENSIONS
|
More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org) and Jud McCranie (j.mccranie(AT)comcast.net).
First one that can be expressed in two ways: 77976 = 228^3+1824^3 = 1026^3+1710^3 - Jud McCranie (j.mccranie(AT)comcast.net).
|
|
|
Search completed in 0.002 seconds
|
