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

1,2

Comments

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

Links

Table of n, a(n) for n=1..31.

Example

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

Prog

(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

Crossrefs

Cf. A068690.

Sequence in context: A299865 A001253 A303462 * A322298 A136902 A136884

Adjacent sequences: A085583 A085584 A085585 * A085587 A085588 A085589

Keyword

nonn,base

Author

Zak Seidov, Jul 06 2003

Extensions

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

Status

approved