A115694 Cubes whose digit reversal is a powerful(1) number (A001694).

1, 8, 27, 343, 1000, 1331, 8000, 27000, 343000, 1000000, 1030301, 1331000, 1367631, 8000000, 27000000, 343000000, 1000000000, 1003003001, 1030301000, 1033364331, 1331000000, 1334633301, 1367631000, 8000000000, 10662526601, 27000000000, 343000000000, 1000000000000

Offset: 1

Author

Giovanni Resta, Jan 31 2006

Keywords

• nonn
• base

Examples

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

Links

• Amiram Eldar, Table of n, a(n) for n = 1..265
• Index entries for sequences related to powerful numbers.

Crossrefs

Cf. A001694, A115693.

Programs

Mathematica

Select[Range[2300]^3,Min[FactorInteger[IntegerReverse[#]][[All,2]]]>1 || IntegerReverse[#]==1&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jun 08 2021 *)

PARI

lista(kmax) = {my(c); for(k = 1, kmax, c = k^3; if(ispowerful(fromdigits( Vecrev(digits(c)))), print1(c, ", ")));} \\ Amiram Eldar, Feb 24 2024

Extensions

a(26)-a(28) from Amiram Eldar, Feb 24 2024