A371222 Product of digits of (n written in base 3) mod 3.

0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

0,3

Comments

a(A032924(n)) = 1 or 2. For n >= 1, a(A032924(n)) - 1 = A309953(A032924(n)) mod 3 - 1 = A010059(n+1).

Links

Table of n, a(n) for n=0..91.

Formula

a(n) = A309953(n) mod 3.

a(A081605(n)) = 0.

Example

n = 5: 5_10 = 12_3 thus a(5) = 1*2 mod 3 = 2.
n = 8: 8_10 = 22_3 thus a(8) = 2*2 mod 3 = 1.

Mathematica

a[n_] := Mod[Times @@ IntegerDigits[n, 3], 3]; Array[a, 100, 0] (* Amiram Eldar, Mar 18 2024 *)

Prog

(Python)
from functools import reduce
from sympy.ntheory import digits
def A371222(n): return reduce(lambda a, b: a*b%3, digits(n, 3)[1:], 1) # Chai Wah Wu, Mar 19 2024

Crossrefs

Cf. A007089, A010059, A032924, A081605, A309953, A371281 (base 10).

Sequence in context: A331534 A035445 A053603 * A085794 A336939 A239002

Adjacent sequences: A371219 A371220 A371221 * A371223 A371224 A371225

Keyword

nonn,base

Author

Ctibor O. Zizka, Mar 18 2024

Status

approved