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A296206 Xor-Moebius transform applied twice to natural numbers. 4
1, 2, 3, 5, 5, 6, 7, 10, 8, 10, 11, 15, 13, 14, 15, 20, 17, 16, 19, 17, 21, 22, 23, 30, 24, 26, 24, 27, 29, 30, 31, 40, 33, 34, 35, 40, 37, 38, 39, 34, 41, 42, 43, 39, 40, 46, 47, 60, 48, 48, 51, 57, 53, 48, 55, 54, 57, 58, 59, 51, 61, 62, 56, 80, 65, 66, 67, 85, 69, 70, 71, 80, 73, 74, 72, 95, 77, 78, 79, 68, 88 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Xor-Moebius transform of A256739, in other words, the unique sequence that satisfies SumXOR_{d divides n} a(d) = A256739(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
PROG
(PARI)
A256739(n) = { if(1==n, return(n)); my(x=n); fordiv(n, d, if(d<n, x = bitxor(x, A256739(d)))); (x); };
A296206(n) = { my(v=0); fordiv(n, d, if(issquarefree(n/d), v=bitxor(v, A256739(d)))); (v); } \\ after code in A295901.
CROSSREFS
Sequence in context: A029910 A063677 A078903 * A079228 A067535 A076752
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, Dec 25 2017
STATUS
approved

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Last modified April 13 05:19 EDT 2024. Contains 371639 sequences. (Running on oeis4.)