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A125110 Cubes which have a partition as the sum of 2 squares. 3
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; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..37.

FORMULA

a(n) = A001481(n)^3. - Ray Chandler, Nov 23 2006

Equals A000578 INTERSECT A001481. - R. J. Mathar, Nov 23 2006

EXAMPLE

125=5^3=2^2+11^2=A001481(54)=A000578(8).

MATHEMATICA

Select[Range[0, 81]^3, SquaresR[2, # ] > 0 &] (* Ray Chandler, Nov 23 2006 *)

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, Nov 23 2006

CROSSREFS

Cf. A125084, A125111, A001481.

Sequence in context: A118719 A134739 A116978 * A209990 A235425 A255932

Adjacent sequences:  A125107 A125108 A125109 * A125111 A125112 A125113

KEYWORD

nonn,changed

AUTHOR

Artur Jasinski, Nov 21 2006

EXTENSIONS

Corrected and extended by R. J. Mathar and Ray Chandler, Nov 23 2006

STATUS

approved

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Last modified October 16 13:32 EDT 2019. Contains 328093 sequences. (Running on oeis4.)