A004669 Powers of 3 written in base 27.

1, 3, 9, 10, 30, 90, 100, 300, 900, 1000, 3000, 9000, 10000, 30000, 90000, 100000, 300000, 900000, 1000000, 3000000, 9000000, 10000000, 30000000, 90000000, 100000000, 300000000, 900000000, 1000000000

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy
• base

Comments

Similar to powers of 2 in base 8 (A004647) or 16 (A004655). - M. F. Hasler, Jun 22 2018

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,0,10).

Crossrefs

Cf. A000079, A004643, ..., A004655: powers of 2 written in base 10, 4, 5, ..., 16.

Cf. A000244, A004656, A004658, A004659, ..., A004668: powers of 3 in base 10, 2, 4, 5, ..., 26.

Programs

Mathematica

Table[FromDigits[IntegerDigits[3^n, 27]], {n, 0, 100}] (* G. C. Greubel, Oct 12 2018 *)

PARI

apply( a(n)=3^(n%3)*10^(n\3), [0..20]) \\ M. F. Hasler, Jun 22 2018

Formula

a(n) = 3^(n mod 3)*10^floor(n/3). - M. F. Hasler, Jun 22 2018

From Chai Wah Wu, Sep 03 2020: (Start)

a(n) = 10*a(n-3) for n > 2.

G.f.: (-9*x^2 - 3*x - 1)/(10*x^3 - 1). (End)