A309953 - OEIS

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A309953

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

0, 1, 2, 0, 1, 2, 0, 2, 4, 0, 0, 0, 0, 1, 2, 0, 2, 4, 0, 0, 0, 0, 2, 4, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 4, 0, 0, 0, 0, 2, 4, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 4, 8, 0, 0, 0, 0, 4, 8, 0, 8, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

FORMULA

G.f. A(x) satisfies: A(x) = x * (1 + 2*x) * (1 + A(x^3)).

MAPLE

a:= proc(n) a(n):= `if`(n<3, n, irem(n, 3, 'q')*a(q)) end:

seq(a(n), n=0..100); # Alois P. Heinz, Mar 18 2024

MATHEMATICA

Table[Times @@ IntegerDigits[n, 3], {n, 0, 100}]