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

1,2

Links

Table of n, a(n) for n=1..68.

Prog

(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

Crossrefs

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

Sequence in context: A366059 A043341 A023714 * A096507 A288428 A050675

Adjacent sequences: A355271 A355272 A355273 * A355275 A355276 A355277

Keyword

nonn,base

Author

M. F. Hasler, Jul 03 2022

Status

approved