A359601 -id:A359601 - cp's OEIS frontend

A359602 Sum of A244042 and its Dirichlet inverse, where A244042(n) replaces 2's with 0's in the ternary representation of n.

2, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 24, 0, 0, 18, 16, 0, 0, 0, 24, 6, 0, 0, 0, 9, 0, 27, 8, 0, 60, 0, 0, 54, 0, 6, 36, 0, 0, 78, 80, 0, 72, 0, 72, 27, 0, 0, 12, 1, 60, 54, 104, 0, 0, 54, 96, 6, 0, 0, -72, 0, 0, 9, 16, 78, 24, 0, 72, 18, 92, 0, 0, 0, 0, -21, 8, 18, 0, 0, -84, 81, 0, 0, 144, 54, 0, 162, 32

Offset: 1

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Antti Karttunen, Jan 11 2023

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Antti Karttunen, Table of n, a(n) for n = 1..19682

Cf. A244042, A359601.

Cf. A053850 (positions of odd terms), A353569 (parity of terms).

A244042(n) = fromdigits(apply(x->(x%2), digits(n, 3)), 3);
memoA359601 = Map();
A359601(n) = if(1==n,1,my(v); if(mapisdefined(memoA359601,n,&v), v, v = -sumdiv(n,d,if(dA244042(n/d)*A359601(d),0)); mapput(memoA359601,n,v); (v)));
A359602(n) = (A244042(n)+A359601(n));

a(n) = A244042(n) + A359601(n).

a(1) = 2, and for n > 1, a(n) = -Sum_{d|n, 1A244042(d) * A359601(n/d).

cp's OEIS Frontend

A359602 Sum of A244042 and its Dirichlet inverse, where A244042(n) replaces 2's with 0's in the ternary representation of n.

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