A115693 Powerful(1) numbers (A001694) whose digit reversal is a cube.

1, 8, 72, 100, 343, 800, 1000, 1331, 7200, 8000, 10000, 34300, 72000, 80000, 100000, 133100, 343000, 720000, 800000, 1000000, 1030301, 1331000, 1367631, 3430000, 7200000, 8000000, 10000000, 13310000, 34300000, 72000000, 80000000, 100000000, 103030100, 133100000

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..180

Index entries for sequences related to powerful numbers.

Example

72 = 2^3*3^2 is powerful and 27 = 3^3.

Mathematica

Select[Join[{1}, Select[Range[10000000], Min[Transpose[ FactorInteger[#]] [[2]]]>1&]], IntegerQ[Power[FromDigits[Reverse[IntegerDigits[#]]], (3)^-1]]&] (* Harvey P. Dale, Sep 18 2011 *)

Crossrefs

Cf. A001694, A115694.

Sequence in context: A004165 A032554 A097255 * A112403 A043932 A064015

Adjacent sequences: A115690 A115691 A115692 * A115694 A115695 A115696

Keyword

nonn,base

Author

Giovanni Resta, Jan 31 2006

Extensions

a(28)-a(34) from Amiram Eldar, Feb 24 2024

Status

approved