|
Search: id:A050802
|
|
|
| A050802 |
|
Squares expressible as the sum of two nonzero cubes in at least one way. |
|
+0
3
|
|
| 9, 16, 576, 1024, 6561, 9604, 11664, 28224, 36864, 51984, 65536, 97344, 140625, 250000, 275625, 345744, 419904, 450241, 614656, 717409, 746496, 1028196, 1058841, 1399489, 1500625, 1590121, 1750329, 1806336, 1882384, 2359296
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
"Game, Set and Math" by Ian Stewart, Chapter 8 'Close Encounters of the Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.
|
|
LINKS
|
Tony D. Noe and Harry J. Smith, Table of n, a(n) for n=1,...,1000
Index entries for sequences related to sums of squares
|
|
EXAMPLE
|
E.g. 717409 or 847^2 = 33^3 + 88^3.
|
|
PROGRAM
|
(PARI) { nstart=1; a2start=9; n=nstart; a=sqrtint(a2start)-1; until (0, a=a+1; a2=a*a; b1=((a2/2)^(1/3))\1; for (b=b1, a, b3=b*b*b; c1=1; if (a2 > b3, c1=((a2-b3)^(1/3))\1; ); for (c=c1, b, d=b3 + c*c*c; if (d > a2 && c == 1, break(2)); if (d > a2, break); if (a2 == d, print(n, " ", a2); write("b050802.txt", n, " ", a2); n=n+1; break(2); ); ) ) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jan 15 2009]
|
|
CROSSREFS
|
Cf. A050801, A050803.
Sequence in context: A075373 A072470 A053911 this_sequence A136313 A103707 A004751
Adjacent sequences: A050799 A050800 A050801 this_sequence A050803 A050804 A050805
|
|
KEYWORD
|
nonn,nice,easy
|
|
AUTHOR
|
Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 1999.
|
|
EXTENSIONS
|
More terms from Michel ten Voorde (seqfan(AT)tenvoorde.org)
|
|
|
Search completed in 0.002 seconds
|
