A355274 Numbers having more even than odd digits when written in base 3.

0, 2, 6, 8, 9, 11, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33, 35, 45, 47, 51, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 65, 69, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 92, 96, 98, 99, 100, 101, 102, 104, 105, 106, 107, 108, 110, 114, 116

Offset: 1

Author

M. F. Hasler, Jul 03 2022

Keywords

• nonn
• base

Crossrefs

Cf. A072603 (same in base 2), A352546 (same in base 10).

Programs

PARI

select( {is_A355274(n)=vecsum(n=digits(n,3)%2)*2<#n+!n}, [0..123])

Python

from sympy.ntheory import digits
def ok(n):
    d = digits(n, 3)[1:]
    return len(d) < 2*sum(1 for di in d if di%2 == 0)
print([k for k in range(117) if ok(k)]) # Michael S. Branicky, Jul 03 2022