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A296203 Xor-Moebius transform of A000203, the sum of divisors. 4
1, 2, 5, 4, 7, 10, 9, 8, 9, 22, 13, 20, 15, 18, 27, 16, 19, 34, 21, 60, 45, 42, 25, 40, 25, 38, 37, 36, 31, 78, 33, 32, 57, 38, 63, 108, 39, 42, 51, 120, 43, 90, 45, 116, 95, 82, 49, 80, 49, 86, 95, 76, 55, 122, 67, 72, 65, 70, 61, 204, 63, 66, 65, 64, 93, 130, 69, 76, 125, 166, 73, 184, 75, 86, 125, 180, 101, 190, 81, 240, 81 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Unique sequence satisfying SumXOR_{d divides n} a(d) = sigma(n) for all n > 0, where SumXOR is the analog of summation under the binary XOR operation. See A295901 for a list of some of the properties of Xor-Moebius transform.

LINKS

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

Rémy Sigrist, Scatterplot of the first 2^16 terms

PROG

(PARI) A296203(n) = { my(v=0); fordiv(n, d, if(issquarefree(n/d), v=bitxor(v, sigma(d)))); (v); } \\ after code in A295901.

CROSSREFS

Cf. A000203, A169813, A256739, A295901, A296208.

Sequence in context: A153990 A154811 A309513 * A036237 A015948 A119733

Adjacent sequences:  A296200 A296201 A296202 * A296204 A296205 A296206

KEYWORD

nonn

AUTHOR

Antti Karttunen, Dec 25 2017, from Rémy Sigrist's "gallery of scatter plots" in A295901.

STATUS

approved

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Last modified February 17 02:22 EST 2020. Contains 331976 sequences. (Running on oeis4.)