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A125110
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Cubes which have a partition as the sum of 2 squares.
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3
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0, 1, 8, 64, 125, 512, 729, 1000, 2197, 4096, 4913, 5832, 8000, 15625, 17576, 24389, 32768, 39304, 46656, 50653, 64000, 68921, 91125, 117649, 125000, 140608, 148877, 195112, 226981, 262144, 274625, 314432, 373248, 389017, 405224, 512000, 531441
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| Equals A000578 INTERSECT A001481. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 23 2006
a(n) = A001481(n)^3. (Chandler)
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EXAMPLE
| 125=5^3=2^2+11^2=A001481(54)=A000578(8).
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MATHEMATICA
| Select[Range[0, 81]^3, SquaresR[2, # ] > 0 &] (* Chandler *)
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PROG
| (PARI) isA125110(ncube)={ local(a) ; a=0; while(a^2<=ncube, if(issquare(ncube-a^2), return(1) ; ) ; a++ ; ) ; return(0) ; } { for(n=0, 200, if(isA125110(n^3), print1(n^3, ", ") ; ) ; ) ; } - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 23 2006
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CROSSREFS
| Cf. A125084, A125111, A001481.
Sequence in context: A118719 A134739 A116978 * A043152 A044195 A153808
Adjacent sequences: A125107 A125108 A125109 * A125111 A125112 A125113
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KEYWORD
| nonn
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Nov 21 2006
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EXTENSIONS
| Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl) and Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 23 2006
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