A300222 In ternary (base-3) representation of n, replace 1's with 0's.

0, 0, 2, 0, 0, 2, 6, 6, 8, 0, 0, 2, 0, 0, 2, 6, 6, 8, 18, 18, 20, 18, 18, 20, 24, 24, 26, 0, 0, 2, 0, 0, 2, 6, 6, 8, 0, 0, 2, 0, 0, 2, 6, 6, 8, 18, 18, 20, 18, 18, 20, 24, 24, 26, 54, 54, 56, 54, 54, 56, 60, 60, 62, 54, 54, 56, 54, 54, 56, 60, 60, 62, 72, 72, 74, 72, 72, 74, 78, 78, 80, 0, 0, 2, 0, 0, 2, 6, 6, 8, 0, 0, 2

Offset

0,3

Links

Antti Karttunen, Table of n, a(n) for n = 0..59048

Formula

a(n) = n - A244042(n) = 2*A244042(A004488(n)).

a(n) = 2*A005836(1+A289814(n)). [With the current starting offset 1 of A005836.]

a(n) = A300822(n) + A300824(n).

Example

For n=46, which in base-3 (A007089) is 1201, replacing 1's with 0's gives 200, and as that is base-3 representation of 18 (= 2*(3^2) + 0*(3^1) + 0*(3^0)), a(46) = 18.

Mathematica

Array[FromDigits[IntegerDigits[#, 3] /. 1 -> 0, 3] &, 93, 0] (* Michael De Vlieger, Mar 17 2018 *)

Prog

(PARI)
A244042(n) = fromdigits(apply(x->(x%2), digits(n, 3)), 3);
A300222(n) = (n - A244042(n));
\\ Or directly as:
A300222(n) = fromdigits(apply(x->(if (1==x, 0, x)), digits(n, 3)), 3);

Crossrefs

Cf. A004488, A005836, A007089, A244042, A289814.

Cf. A300822 (Moebius transform).

Sequence in context: A066209 A284455 A333250 * A246814 A116597 A202496

Adjacent sequences: A300219 A300220 A300221 * A300223 A300224 A300225

Keyword

nonn,base

Author

Antti Karttunen, Mar 14 2018

Status

approved