A305659 Powers of 2 in base 3/2.

1, 2, 21, 212, 21011, 212022, 21200101, 2101100202, 21202202121, 2120012010112, 210110211022111, 2122111011101222, 212001222211110201, 21011210220122222102, 2101100011201022201221, 21202200211121122010012, 2120010121200020001020211, 210110211001100210002212122

Offset

0,2

Comments

a(n) is A305658(n) with n zeros removed at the end, where A305658(n) is powers of 3 in base 3/2.

Links

Table of n, a(n) for n=0..17.

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(A000079(n)). - Michel Marcus, Jun 18 2018

Maple

b:= proc(n) `if`(n<1, 0, irem(n, 3, 'q')+b(2*q)*10) end:
a:= n-> b(2^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(2^n); \\ Michel Marcus, Jun 18 2018

Crossrefs

Cf. A024629, A246435, A305658.

Sequence in context: A024763 A304272 A037575 * A008351 A037743 A037638

Adjacent sequences: A305656 A305657 A305658 * A305660 A305661 A305662

Keyword

nonn,base

Author

Tanya Khovanova and PRIMES STEP Senior group, Jun 07 2018

Extensions

More terms from Michel Marcus, Jun 18 2018

Status

approved