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A370916
Positive integers whose ternary representation includes at least one 0, and every 0 is followed by 1.
5
10, 19, 31, 32, 37, 46, 58, 59, 64, 73, 91, 94, 95, 97, 98, 112, 113, 118, 127, 139, 140, 145, 154, 172, 175, 176, 178, 179, 193, 194, 199, 208, 220, 221, 226, 235, 274, 275, 280, 283, 284, 286, 287, 289, 292, 293, 295, 296, 334, 337, 338, 340, 341, 355, 356
OFFSET
1,1
EXAMPLE
The ternary representations of 10, 19, and 31 are 101, 201, and 1011.
MATHEMATICA
Map[#[[1]] &, Select[Map[{#, #[[1]] > 0 && #[[1]] == #[[2]] &[{Length[
StringCases[#, "0"]], Length[StringCases[#, "01"]]}] &[
IntegerString[#, 3]]} &, Range[500]], #[[2]] &]]
(* Peter J. C. Moses, Mar 05 2024 *)
KEYWORD
nonn,base
AUTHOR
Clark Kimberling, Mar 13 2024
STATUS
approved