A265746 - OEIS

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A265746

Jacobsthal greedy base (A265747) interpreted as base-3 numbers, then shown in decimal.

0, 1, 2, 3, 4, 9, 10, 11, 12, 13, 18, 27, 28, 29, 30, 31, 36, 37, 38, 39, 40, 81, 82, 83, 84, 85, 90, 91, 92, 93, 94, 99, 108, 109, 110, 111, 112, 117, 118, 119, 120, 121, 162, 243, 244, 245, 246, 247, 252, 253, 254, 255, 256, 261, 270, 271, 272, 273

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

OFFSET

0,3

COMMENTS

Analogously to "Fibbinary numbers" (A003714) and "Catquaternary numbers" (A244161), this sequence could be called "Jacoternary numbers".

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..10923

FORMULA

a(0) = 0; for n >= 1, a(n) = 3^(A130249(n)-2) + a(n - A001045(A130249(n))).

MATHEMATICA

a[n_] := FromDigits[IntegerDigits[A265747[n]], 3]; Array[a, 100, 0] (* Amiram Eldar, Jul 21 2023 using A265747[n] *)

PROG