A046031 Digits are cubes.

0, 1, 8, 10, 11, 18, 80, 81, 88, 100, 101, 108, 110, 111, 118, 180, 181, 188, 800, 801, 808, 810, 811, 818, 880, 881, 888, 1000, 1001, 1008, 1010, 1011, 1018, 1080, 1081, 1088, 1100, 1101, 1108, 1110, 1111, 1118, 1180, 1181, 1188, 1800, 1801, 1808

Offset

0,3

Comments

This is also a sequence where the digits of each integer are both horizontally and vertically symmetrical. - Philip Mizzi, May 24 2014

Numbers with no prime or semiprime digits. - Wesley Ivan Hurt, Jan 17 2016

Because the digits of each term can only be 0, 1 or 8, each number in the sequence is both mirror ambigrammatic and rotationally ambigrammatic. - Philip Mizzi, Jan 01 2021

Links

Bruno Berselli, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, Smarandache Sequences.

Formula

G.f. G(x) satisfies G(x) = 10*(1+x+x^2)*G(x^3)+x*(1+8*x)/(1-x^3). - Robert Israel, Jan 18 2016

Maple

M[1]:= [0, 1, 8]:
for n from 2 to 4 do M[n]:= map(t -> (10*t, 10*t+1, 10*t+8), M[n-1]) od:
M[4]; # Robert Israel, Jan 18 2016

Prog

(Magma) [n: n in [0..2000] | forall{d: d in Intseq(n) | d in [0, 1, 8]}]; // Bruno Berselli, Jan 10 2013

Crossrefs

Sequence in context: A288107 A062372 A374349 * A102758 A176815 A338473

Adjacent sequences: A046028 A046029 A046030 * A046032 A046033 A046034

Keyword

nonn,base

Author

Eric W. Weisstein

Status

approved