A324194 A000120-deficiency of n permuted by A163511: a(n) = A192895(A163511(n)).

-1, 0, 1, -1, 2, 1, 2, -1, 3, 1, 6, 0, 5, 1, 2, -2, 4, 6, 10, 0, 11, 8, 6, 1, 8, 7, 10, 3, 5, 3, 2, -2, 5, 6, 18, 7, 19, 15, 12, 1, 16, 18, 24, 6, 12, 8, 8, -1, 11, 15, 22, 6, 19, 14, 12, 3, 8, 5, 12, 1, 6, 4, 2, -2, 6, 12, 24, 11, 30, 27, 24, 8, 28, 34, 44, 17, 24, 19, 14, 3, 21, 29, 44, 22, 40, 27, 24, 9, 18, 18, 24, 10, 15, 7, 8, 0, 14, 21

Offset: 0

Author

Antti Karttunen, Feb 19 2019

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16384
• Antti Karttunen, Data supplement: n, a(n) computed for n = 0..65537
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A054429, A163511, A192895, A324114.

Cf. also A324100, A324185.

Programs

PARI

A163511(n) = if(!n,1,my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
A192895(n) = sumdiv(n, d, hammingweight(d)*(-1)^(d==n));
A324194(n) = A192895(A163511(n));

Formula

a(n) = A192895(A163511(n)).

For n > 0, a(n) = A324114(A054429(n)).