A325316 a(n) = A048250(n) OR A162296(n), where OR is the bitwise-OR, A003986.

1, 3, 4, 7, 6, 12, 8, 15, 13, 18, 12, 28, 14, 24, 24, 31, 18, 31, 20, 26, 32, 36, 24, 60, 31, 42, 36, 56, 30, 72, 32, 63, 48, 54, 48, 79, 38, 60, 56, 90, 42, 96, 44, 52, 62, 72, 48, 124, 57, 91, 72, 58, 54, 108, 72, 120, 80, 90, 60, 104, 62, 96, 104, 127, 84, 144, 68, 126, 96, 144, 72, 191, 74, 114, 124, 124, 96, 168, 80

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to binary expansion of n

Index entries for sequences related to sigma(n)

Formula

a(n) = A003986(A048250(n), A162296(n)).

a(n) = A000203(n) - A325318(n) = A325317(n) + A325318(n).

Mathematica

Array[BitOr @@ Map[Total, {#3, Complement[#2, #3]}] & @@ {#1, #2, Select[#2, SquareFreeQ]} & @@ {#, Divisors[#]} &, 79] (* Michael De Vlieger, Apr 21 2019 *)

Prog

(PARI)
A048250(n) = factorback(apply(p -> p+1, factor(n)[, 1]));
A162296(n) = sumdiv(n, d, d*(1-issquarefree(d)));
A325316(n) = bitor(A048250(n), A162296(n));

Crossrefs

Cf. A000203, A003986, A048250, A162296, A325317, A325318.

Sequence in context: A365170 A365174 A325317 * A227131 A365209 A097863

Adjacent sequences: A325313 A325314 A325315 * A325317 A325318 A325319

Keyword

nonn

Author

Antti Karttunen, Apr 21 2019

Status

approved