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A325317 a(n) = A048250(n) XOR A162296(n), where XOR is the bitwise-XOR, A003987. 3
1, 3, 4, 7, 6, 12, 8, 15, 13, 18, 12, 28, 14, 24, 24, 31, 18, 23, 20, 10, 32, 36, 24, 60, 31, 42, 32, 56, 30, 72, 32, 63, 48, 54, 48, 67, 38, 60, 56, 90, 42, 96, 44, 20, 46, 72, 48, 124, 57, 89, 72, 18, 54, 96, 72, 120, 80, 90, 60, 40, 62, 96, 104, 127, 84, 144, 68, 126, 96, 144, 72, 187, 74, 114, 124, 108, 96, 168, 80 (list; graph; refs; listen; history; text; internal format)
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) = A003987(A048250(n), A162296(n)).

a(n) = A000203(n) - 2*A325318(n) = A325316(n) - A325318(n).

MATHEMATICA

Array[BitXor @@ 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)));

A325317(n) = bitxor(A048250(n), A162296(n));

CROSSREFS

Cf. A000203, A003987, A048250, A162296, A325316, A325318.

Sequence in context: A284587 A097011 A074847 * A325316 A227131 A097863

Adjacent sequences:  A325314 A325315 A325316 * A325318 A325319 A325320

KEYWORD

nonn

AUTHOR

Antti Karttunen, Apr 21 2019

STATUS

approved

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Last modified January 27 12:01 EST 2020. Contains 331295 sequences. (Running on oeis4.)