A318506 a(n) = A032742(n) OR A001065(n)-A032742(n), where OR is bitwise-or (A003986) and A001065 = sum of proper divisors and A032742 = the largest proper divisor of n.

1, 1, 1, 3, 1, 3, 1, 7, 3, 7, 1, 14, 1, 7, 5, 15, 1, 13, 1, 14, 7, 11, 1, 28, 5, 15, 13, 14, 1, 31, 1, 31, 15, 19, 7, 55, 1, 19, 13, 30, 1, 53, 1, 22, 31, 23, 1, 60, 7, 27, 21, 30, 1, 63, 15, 60, 23, 31, 1, 94, 1, 31, 21, 63, 15, 45, 1, 58, 23, 39, 1, 119, 1, 39, 25, 62, 11, 55, 1, 106, 31, 43, 1, 106, 23, 43, 29, 60, 1, 111, 13, 62, 31

Offset

1,4

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) = A003986(A032742(n), A318505(n)).

For n > 1, a(n) = A001065(n) - A318508(n).

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));
A318506(n) = bitor(A318505(n), A032742(n));

Crossrefs

Cf. A001065, A003986, A032742, A318505, A318507, A318508.

Cf. also A318456, A318516.

Sequence in context: A344763 A176032 A218403 * A322382 A122410 A309790

Adjacent sequences: A318503 A318504 A318505 * A318507 A318508 A318509

Keyword

nonn,base

Author

Antti Karttunen, Aug 28 2018

Status

approved