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

Offset: 0

Author

Antti Karttunen, Dec 17 2015

Keywords

• nonn
• base

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

Crossrefs

Cf. A000244, A001045, A130249.

Cf. A265745, A265747.

Cf. also A003714, A244161.

Programs

Mathematica

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

PARI

a(n) = fromdigits(digits(A265747(n)), 3); \\ Amiram Eldar, Jul 21 2023, using A265747(n)

Formula

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