OFFSET
1,2
COMMENTS
This sequence is more sporadic than A257760. It appears there is no sequence for zeroless numbers n and n^3 such that the products of the decimal digits coincide, except for the trivial 1.
LINKS
Giovanni Resta, Table of n, a(n) for n = 1..544 (terms < 4*10^10)
EXAMPLE
5 is in the sequence since 5^2 = 25 and 5^3 = 125 and we have 2*5 = 1*2*5 = 10 > 0.
6057 is in the sequence since 6057^2 = 36687249 and 6057^3 = 222214667193 and we have 3*6*6*8*7*2*4*9 = 2*2*2*2*1*4*6*6*7*1*9*3 = 435456 > 0.
MATHEMATICA
pod[n_] := Times@@IntegerDigits@n; Select[Range[10^7], pod[#^3] == pod[#^2] > 0 &] (* Giovanni Resta, May 08 2015 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Pieter Post, May 08 2015
EXTENSIONS
Corrected and extended by Giovanni Resta, May 08 2015
STATUS
approved