A035124 Nonpalindromic cubes remaining cubic which written backwards: take the cube root of n, reverse its digits, cube that and the result is n with its digits reversed.

1033364331, 1334633301, 1003303631331, 1331363033001, 1000330036301331, 1003033061330301, 1003333697667631, 1030331603303001, 1030637669664331, 1331036300330001, 1334669667360301, 1367667963333001, 1000033000363001331, 1000303030604030301, 1000333036964367631

Offset

1,1

Comments

Cubes with trailing zeros are excluded.

Links

Table of n, a(n) for n=1..15.

P. De Geest, Palindromic Cubes

Eric Weisstein's World of Mathematics, Cubic Number

Index entry for sequences related to reversing digits of squares

Example

1011^3 = 1033364331 -> 1334633301 = 1101^3.
1003333697667631 is included because its cube root, 100111, when reversed (i.e., 111001) and cubed yields 1367667963333001.

Prog

(PARI) isok(n) = {if (ispower(n, 3, &k), dn = digits(n); if (Vecrev(dn) != dn, dk = Vecrev(digits(k)); rk = subst(Pol(dk, x), x, 10); digits(rk^3) == Vecrev(dn); ); ); } \\ Michel Marcus, Oct 04 2015

Crossrefs

Cf. A035090, A035125, A064021, A319389.

Sequence in context: A225218 A359342 A268312 * A197952 A321066 A222531

Adjacent sequences: A035121 A035122 A035123 * A035125 A035126 A035127

Keyword

nonn,base

Author

Patrick De Geest, Nov 15 1998

Extensions

More terms from Seiichi Manyama, Sep 18 2018

Status

approved