A324195 Cumulative bitwise-OR of A297112(d), where d ranges over the divisors d of n.

0, 1, 2, 3, 4, 3, 8, 7, 6, 5, 16, 7, 32, 9, 6, 15, 64, 7, 128, 15, 10, 17, 256, 15, 12, 33, 14, 27, 512, 7, 1024, 31, 18, 65, 12, 15, 2048, 129, 34, 31, 4096, 11, 8192, 51, 14, 257, 16384, 31, 24, 13, 66, 99, 32768, 15, 20, 63, 130, 513, 65536, 15, 131072, 1025, 30, 63, 36, 19, 262144, 195, 258, 13, 524288, 31, 1048576, 2049, 14, 387, 24, 35, 2097152, 63, 30

Offset

1,3

Comments

A324180 differs from this one in that it uses XOR instead of OR, and uses only the proper divisors of n.

Links

Antti Karttunen, Table of n, a(n) for n = 1..4096

Formula

A000120(a(n)) = A324190(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));
A324195(n) = { my(v=0); fordiv(n, d, v = bitor(v, A297112(d))); (v); };

Crossrefs

Cf. A000120, A003986, A297112, A297167, A297168, A061395, A324190, A324196, A324197.

Cf. also A324180.

Sequence in context: A198461 A228576 A329465 * A339663 A211507 A295368

Adjacent sequences: A324192 A324193 A324194 * A324196 A324197 A324198

Keyword

nonn

Author

Antti Karttunen, Feb 20 2019

Status

approved