A035124 - OEIS

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

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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