A305658 Powers of 3 in base 3/2.

1, 20, 2100, 212000, 210110000, 21202200000, 21200101000000, 21011002020000000, 2120220212100000000, 2120012010112000000000, 2101102110221110000000000, 212211101110122200000000000, 212001222211110201000000000000, 210112102201222221020000000000000

Offset

0,2

Comments

a(n) has n zeros at the end.

a(n) is A305659(n) with n zeros added at the end, where A305659(n) is powers of 2 in base 3/2.

Links

Table of n, a(n) for n=0..13.

B. Chen, R. Chen, J. Guo, S. Lee et al., On Base 3/2 and its Sequences, arXiv:1808.04304 [math.NT], 2018.

Formula

a(n) = A024629(A000244(n)).

Maple

b:= proc(n) `if`(n<1, 0, irem(n, 3, 'q')+b(2*q)*10) end:
a:= n-> b(3^n):
seq(a(n), n=0..20);  # Alois P. Heinz, Jun 18 2018

Prog

(PARI) f(n) = if( n<1, 0, f(n\3 * 2) * 10 + n%3);
a(n) = f(3^n); \\ Michel Marcus, Jun 18 2018

Crossrefs

Cf. A000244, A024629, A246435, A305659.

Sequence in context: A123479 A071152 A195622 * A329067 A064878 A222943

Adjacent sequences: A305655 A305656 A305657 * A305659 A305660 A305661

Keyword

nonn,base

Author

Tanya Khovanova and PRIMES STEP Senior group, Jun 07 2018

Status

approved