A370917 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A370917

Positive integers whose ternary representation includes at least one 0, and every 0 is followed by 2.

11, 20, 34, 35, 38, 47, 61, 62, 65, 74, 101, 103, 104, 106, 107, 115, 116, 119, 128, 142, 143, 146, 155, 182, 184, 185, 187, 188, 196, 197, 200, 209, 223, 224, 227, 236, 304, 305, 308, 310, 311, 313, 314, 317, 319, 320, 322, 323, 344, 346, 347, 349, 350, 358

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..54.

EXAMPLE

The ternary representations of 11, 20, and 34 are 102, 202, and 1021.

MATHEMATICA

Map[#[[1]] &, Select[Map[{#, #[[1]] > 0 && #[[1]] == #[[2]] &[{Length[

StringCases[#, "0"]], Length[StringCases[#, "02"]]}] &[

IntegerString[#, 3]]} &, Range[500]], #[[2]] &]]

(* Peter J. C. Moses, Mar 05 2024 *)