A238939 Powers of 3 without the digit '0' in their decimal expansion.

1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 177147, 531441, 1594323, 4782969, 1162261467, 94143178827, 282429536481, 2541865828329, 7625597484987, 22876792454961, 617673396283947, 16677181699666569, 278128389443693511257285776231761

Offset

1,2

Comments

Conjectured to be finite and complete. See the OEIS wiki page for further information, references and links.

Links

Table of n, a(n) for n=1..23.

M. F. Hasler, Zeroless powers, OEIS wiki, Mar 07 2014.

Formula

a(n) = 3^A030700(n).

Mathematica

Select[3^Range[0, 100], DigitCount[#, 10, 0]==0&] (* Paolo Xausa, Oct 07 2023 *)

Prog

(PARI) for(n=0, 99, vecmin(digits(3^n))&& print1(3^n", "))

Crossrefs

For the zeroless numbers (powers x^n), see A238938, A238939, A238940, A195948, A238936, A195908, A195946, A195945, A195942, A195943, A103662.

For the corresponding exponents, see A007377, A008839, A030700, A030701, A008839, A030702, A030703, A030704, A030705, A030706, A195944.

For other related sequences, see A052382, A027870, A102483, A103663.

Sequence in context: A133494 A352779 A050733 * A351345 A351344 A079846

Adjacent sequences: A238936 A238937 A238938 * A238940 A238941 A238942

Keyword

nonn,base

Author

M. F. Hasler, Mar 07 2014

Extensions

Keyword:fini removed by Jianing Song, Jan 28 2023 as finiteness is only conjectured.

Status

approved