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A297156 Möbius transform of A243354. 5
0, 1, 3, 1, 7, 2, 15, 3, 1, 6, 31, 6, 63, 14, 2, 5, 127, 2, 255, 14, 10, 30, 511, 10, 1, 62, 7, 30, 1023, 4, 2047, 11, 26, 126, 2, 2, 4095, 254, 58, 26, 8191, 12, 16383, 62, 14, 510, 32767, 22, 1, 2, 122, 126, 65535, 6, 18, 58, 250, 1022, 131071, 4, 262143, 2046, 30, 21, 50, 28, 524287, 254, 506, 4, 1048575, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
PROG
(PARI)
A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};
A156552(n) = if(1==n, 0, if(!(n%2), 1+(2*A156552(n/2)), 2*A156552(A064989(n))));
A006068(n)= { my(s=1, ns); while(1, ns = n >> s; if(0==ns, break()); n = bitxor(n, ns); s <<= 1; ); return (n); } \\ Essentially Joerg Arndt's Jul 19 2012 code.
A297156(n) = sumdiv(n, d, moebius(n/d)*A243354(d));
CROSSREFS
Cf. A006068, A156552, A243354, A297157 (rgs-transform of this sequence).
Cf. also A297112, A297171, A297172.
Sequence in context: A065265 A235263 A297171 * A132885 A187818 A365454
KEYWORD
nonn
AUTHOR
Antti Karttunen, Dec 28 2017
STATUS
approved

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Last modified April 16 09:50 EDT 2024. Contains 371698 sequences. (Running on oeis4.)