A004656 - OEIS

A004656

Powers of 3 written in base 2.

1, 11, 1001, 11011, 1010001, 11110011, 1011011001, 100010001011, 1100110100001, 100110011100011, 1110011010101001, 101011001111111011, 10000001101111110001, 110000101001111010011, 10010001111101101111001

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

OFFSET

0,2

REFERENCES

Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002, pp. 120 and 903.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..640

Ralf Stephan, Aperiodicity and subword complexity in the binary expansion of powers of three, arXiv:2607.14774 [math.CO], 2026.

MATHEMATICA

Table[ FromDigits[ IntegerDigits[3^n, 2]], {n, 0, 14}]

PROG

(PARI) a(n)=fromdigits(binary(3^n)) \\ M. F. Hasler, Jun 23 2018

(Magma) [Seqint(Intseq(3^n, 2)): n in [0..30]]; // G. C. Greubel, Sep 10 2018

CROSSREFS

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

Cf. A000244, A004658, A004659, ... : powers of 3 written in base 10, 4, 5, ...

Sequence in context: A266670 A272654 A342036 * A143016 A152577 A278757

Adjacent sequences: A004653 A004654 A004655 * A004657 A004658 A004659

KEYWORD

nonn,base,easy

AUTHOR

N. J. A. Sloane

STATUS

approved