A305498 The smallest positive even integer that can be represented with n digits in base 3/2.

2, 4, 6, 10, 16, 24, 36, 54, 82, 124, 186, 280, 420, 630, 946, 1420, 2130, 3196, 4794, 7192, 10788, 16182, 24274, 36412, 54618, 81928, 122892, 184338, 276508, 414762, 622144, 933216, 1399824, 2099736, 3149604, 4724406, 7086610, 10629916, 15944874, 23917312

Offset

1,1

Links

Table of n, a(n) for n=1..40.

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+1) = 2*ceiling(3*a(n)/4).

a(n) = 2*A061419(n).

a(n) = A305497(n-1) + 2.

Prog

(Python)
from itertools import islice
def A305498_gen(): # generator of terms
    a = 2
    while True:
        yield (a<<1)-2
        a += a>>1
A305498_list = list(islice(A305498_gen(), 70)) # Chai Wah Wu, Sep 20 2022

Crossrefs

Cf. A005428, A070885, A073941, A081848, A024629, A246435, A304023, A304024, A304025, A303500, A304272, A304273, A304274, A305497.

Sequence in context: A098151 A137414 A211971 * A028445 A006305 A067247

Adjacent sequences: A305495 A305496 A305497 * A305499 A305500 A305501

Keyword

nonn,base

Author

Tanya Khovanova and PRIMES STEP Senior group, Jun 02 2018

Status

approved