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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 25 16:32 EDT 2022. Contains 354071 sequences. (Running on oeis4.)