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A324180
SumXOR variant of
A297168
.
5
0, 0, 0, 1, 0, 3, 0, 3, 2, 5, 0, 3, 0, 9, 6, 7, 0, 5, 0, 3, 10, 17, 0, 3, 4, 33, 6, 3, 0, 5, 0, 15, 18, 65, 12, 7, 0, 129, 34, 15, 0, 9, 0, 3, 6, 257, 0, 3, 8, 9, 66, 3, 0, 9, 20, 23, 130, 513, 0, 15, 0, 1025, 6, 31, 36, 17, 0, 3, 258, 9, 0, 3, 0, 2049, 10, 3, 24, 33, 0, 23, 14, 4097, 0, 23, 68, 8193, 514, 39, 0, 9, 40, 3
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OFFSET
1,6
LINKS
Antti Karttunen,
Table of n, a(n) for n = 1..4096
Index entries for sequences related to binary expansion of n
Index entries for sequences computed from indices in prime factorization
FORMULA
a(n) = Cumulative XOR of
A297112
(d), where d ranges over the proper divisors d of n.
PROG
(PARI)
A061395
(n) = if(1==n, 0, primepi(vecmax(factor(n)[, 1])));
A297167
(n) = if(1==n, 0, (
A061395
(n) + (bigomega(n)-omega(n)) - 1));
A297112
(n) = if(1==n, 0, 2^
A297167
(n));
A324180
(n) = { my(v=0); fordiv(n, d, if(d<n, v = bitxor(v,
A297112
(d)))); (v); };
CROSSREFS
Cf.
A061395
,
A156552
,
A297106
,
A297112
,
A297167
,
A297168
,
A324181
(rgs-transform),
A324120
(number of 1-bits).
Sequence in context:
A004604
A246924
A274715
*
A271860
A219428
A016035
Adjacent sequences:
A324177
A324178
A324179
*
A324181
A324182
A324183
KEYWORD
nonn
AUTHOR
Antti Karttunen
, Feb 19 2019
STATUS
approved