A324100 A000120-deficiency of n permuted by A156552: a(n) = A192895(A156552(n)).

-1, 0, -1, 1, -1, 2, -2, 2, 1, 3, -2, 4, -1, 2, 1, 5, -2, 6, -2, 6, 4, 7, -3, 5, 4, 2, 3, 8, 3, 9, -4, 2, 5, 5, 1, 10, -1, 12, 2, 11, -2, 12, -2, 2, 19, 13, -4, 8, 0, 12, -2, 14, -3, 11, -3, 14, 12, 15, -3, 16, 7, 2, 5, 5, 4, 17, 4, 2, -2, 18, 1, 19, 6, 2, 5, 8, 4, 20, -4, 10, 8, 21, 8, 20, 24, 42, 15, 22, 7, 16, 6, 28, 45, 20, 0, 23, 1, 12, 1

Offset

2,6

Links

Antti Karttunen, Table of n, a(n) for n = 2..4473

Index entries for sequences related to binary expansion of n

Index entries for sequences computed from indices in prime factorization

Formula

a(n) = A192895(A156552(n)).

Prog

(PARI)
A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};
A156552(n) = if(1==n, 0, if(!(n%2), 1+(2*A156552(n/2)), 2*A156552(A064989(n))));
A192895(n) = sumdiv(n, d, hammingweight(d)*(-1)^(d==n));
A324100(n) = A192895(A156552(n));

Crossrefs

Cf. A000120, A156552, A192895, A324113 (sign of each term).

Cf. A324101, A324102 (positions of nonnegative and negative terms).

Cf. also A324114, A324194.

Sequence in context: A349520 A325034 A275853 * A127953 A260418 A280919

Adjacent sequences: A324097 A324098 A324099 * A324101 A324102 A324103

Keyword

sign

Author

Antti Karttunen, Feb 19 2019

Status

approved