A371055 Ternary numbers consisting of a run of 1's, then a run of 0's, then a run of 2's.

102, 1002, 1022, 1102, 10002, 10022, 10222, 11002, 11022, 11102, 100002, 100022, 100222, 102222, 110002, 110022, 110222, 111002, 111022, 111102, 1000002, 1000022, 1000222, 1002222, 1022222, 1100002, 1100022, 1100222, 1102222, 1110002, 1110022, 1110222

Offset: 1

Author

Clark Kimberling, Mar 22 2024

Keywords

• nonn
• base

Examples

			10002 consists of a run 1, then a run 000, then a run 2.
		

Crossrefs

Cf. A007089, A371054

Programs

Mathematica

Map[#[[1]] &, Select[Map[{#, Map[#[[1]] &, Split[IntegerDigits[#, 3]]] == {1, 0, 2}} &, Range[2, 4000, 3]], #[[2]] &]]  (* A370543 *)
ToExpression[Map[IntegerString[#, 3] &, %]]  (* this sequence *)
(* Peter J. C. Moses, Mar 06 2024 *)

Python

from itertools import count, islice
def A371055_gen(): # generator of terms
    return (10**(l-a)*((10**a-1)//9)+((10**b-1)//9<<1) for l in count(3) for a in range(1,l-1) for b in range(1,l-a))
A371055_list = list(islice(A371055_gen(),20)) # Chai Wah Wu, Mar 25 2024