A318508 a(n) = A032742(n) AND A001065(n)-A032742(n), where AND is bitwise-and (A004198) and A001065 = sum of proper divisors and A032742 = the largest proper divisor of n.

0, 0, 0, 0, 0, 3, 0, 0, 1, 1, 0, 2, 0, 3, 4, 0, 0, 8, 0, 8, 4, 3, 0, 8, 1, 1, 0, 14, 0, 11, 0, 0, 0, 1, 6, 0, 0, 3, 4, 20, 0, 1, 0, 18, 2, 3, 0, 16, 1, 16, 0, 16, 0, 3, 2, 4, 0, 1, 0, 14, 0, 3, 20, 0, 4, 33, 0, 0, 4, 35, 0, 4, 0, 1, 24, 2, 8, 35, 0, 0, 9, 1, 0, 34, 0, 3, 4, 32, 0, 33, 8, 14, 4, 3, 2, 32, 0, 16, 0, 2, 0, 51, 0, 52, 32

Offset

1,6

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for sequences related to binary expansion of n

Formula

a(n) = A004198(A032742(n), A318505(n)).

For n > 1, a(n) = A001065(n) - A318506(n) = (A001065(n) - A318507(n))/2.

Prog

(PARI)
A001065(n) = (sigma(n)-n);
A032742(n) = if(1==n, n, n/vecmin(factor(n)[, 1]));
A318505(n) = if(1==n, 0, A001065(n)-A032742(n));
A318508(n) = bitand(A318505(n), A032742(n));

Crossrefs

Cf. A001065, A004198, A032742, A318505, A318506, A318507.

Cf. also A318457, A318517.

Sequence in context: A239446 A036857 A359270 * A100655 A377381 A262262

Adjacent sequences: A318505 A318506 A318507 * A318509 A318510 A318511

Keyword

nonn,base

Author

Antti Karttunen, Aug 28 2018

Status

approved