A085586 n, n^2 and n^3 all use only even digits.

0, 2, 20, 200, 202, 2000, 2002, 2020, 20000, 20002, 20020, 20200, 200000, 200002, 200020, 200200, 202000, 2000000, 2000002, 2000020, 2000200, 2002000, 2020000, 20000000, 20000002, 20000020, 20000200, 20000202, 20002000, 20002002, 20020000

Offset: 1

Author

Zak Seidov, Jul 06 2003

Keywords

• nonn
• base

Comments

Subsequence of A014263 and of A136904. - Michel Marcus, Oct 04 2013

Examples

			202 is a term because 202, 202^2=4008004 and 202^3=8024024008 all use only even digits.
		

Crossrefs

Cf. A068690.

Programs

PARI

evdigs(n) = {if (n==0, return (1)); digs = digits(n); for (i = 1, #digs, if (digs[i] % 2, return (0));); return (1);}
isok(n) = evdigs(n) && evdigs(n^2) && evdigs(n^3); \\ Michel Marcus, Oct 04 2013

Extensions

More terms from Michel Marcus and Jon E. Schoenfield, Oct 04 2013