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A179125 A000037(n)^3. 0
8, 27, 125, 216, 343, 512, 1000, 1331, 1728, 2197, 2744, 3375, 4913, 5832, 6859, 8000, 9261, 10648, 12167, 13824, 17576, 19683, 21952, 24389, 27000, 29791, 32768, 35937, 39304, 42875, 50653, 54872, 59319, 64000, 68921, 74088, 79507, 85184, 91125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Parameters n for which the torsion subgroup of the elliptic curve y^2=x^3+n has order 2.

Numbers which are perfect cubes (A000578) but not perfect squares (A000290).

LINKS

Table of n, a(n) for n=1..39.

J. Gebel, Integer points on Mordell curves [Cached copy, after the original web site tnt.math.se.tmu.ac.jp was shut down in 2017]

J. Gebel, A. Pethö, H. G. Zimmer, Computing integral points on Mordell's elliptic curves, Collect. Math. 48 (1997) 115-136.

Index to sequences related to elliptic curves

PROG

(PARI) isok(n) = !issquare(n) && ispower(n, 3); \\ Michel Marcus, Nov 02 2013

(PARI) a(n) = (n + (1+sqrtint(4*n))\2)^3; \\ Michel Marcus, Nov 02 2013

CROSSREFS

Cf. A002151, A002153, A002155, A102833, A031507.

Sequence in context: A183316 A045971 A176509 * A030160 A030162 A153147

Adjacent sequences:  A179122 A179123 A179124 * A179126 A179127 A179128

KEYWORD

nonn

AUTHOR

Artur Jasinski, Jun 30 2010

EXTENSIONS

Exponent in the definition corrected by R. J. Mathar, Jul 20 2010

STATUS

approved

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Last modified June 26 20:03 EDT 2019. Contains 324380 sequences. (Running on oeis4.)