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

0,2

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).

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)

Mathematica

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

Prog

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

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.

Sequence in context: A308084 A136852 A031115 * A173242 A335030 A335029

Adjacent sequences: A004666 A004667 A004668 * A004670 A004671 A004672

Keyword

nonn,easy,base

Author

N. J. A. Sloane

Status

approved