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A324194
A000120-deficiency of n permuted by A163511: a(n) = A192895(A163511(n)).
3
-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
0,5
FORMULA
a(n) = A192895(A163511(n)).
For n > 0, a(n) = A324114(A054429(n)).
PROG
(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));
CROSSREFS
KEYWORD
sign
AUTHOR
Antti Karttunen, Feb 19 2019
STATUS
approved