|
Search: id:A094740
|
|
|
| A094740 |
|
Numbers n such that 4^k n, for k >= 0, are numbers having a unique partition into three positive squares. |
|
+0
5
|
|
| 3, 6, 9, 11, 14, 17, 18, 19, 21, 22, 26, 29, 30, 34, 35, 42, 43, 45, 46, 49, 50, 53, 61, 65, 67, 70, 73, 78, 82, 91, 93, 97, 106, 109, 115, 133, 142, 145, 157, 163, 169, 190, 193, 202, 205, 235, 253, 265, 277, 298, 397, 403, 427, 442, 445, 505, 793
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
It is conjectured that this sequence is complete.
|
|
EXAMPLE
|
793 is in this sequence because 793 = 6^2 + 9^2 + 26^2 is the unique partition of 793.
|
|
MATHEMATICA
|
lim=100; nLst=Table[0, {lim^2}]; Do[n=a^2+b^2+c^2; If[n>0 && n<lim^2, nLst[[n]]++ ], {a, lim}, {b, a, Sqrt[lim^2-a^2]}, {c, b, Sqrt[lim^2-a^2-b^2]}]; Select[Flatten[Position[nLst, 1]], Mod[ #, 4]>0&]
|
|
CROSSREFS
|
Cf. A094739 (n having a unique partition into three squares).
Adjacent sequences: A094737 A094738 A094739 this_sequence A094741 A094742 A094743
Sequence in context: A000408 A025321 A086883 this_sequence A047400 A054414 A136616
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
T. D. Noe (noe(AT)sspectra.com), May 24 2004
|
|
|
Search completed in 0.002 seconds
|
