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A369458
Arithmetic derivative of the odd part of n, permuted by A163511 ("Doudna-sequence mirrored").
3
0, 0, 0, 1, 0, 6, 1, 1, 0, 27, 6, 10, 1, 8, 1, 1, 0, 108, 27, 75, 6, 55, 10, 14, 1, 39, 8, 12, 1, 10, 1, 1, 0, 405, 108, 500, 27, 350, 75, 147, 6, 240, 55, 119, 10, 91, 14, 22, 1, 162, 39, 95, 8, 71, 12, 18, 1, 51, 10, 16, 1, 14, 1, 1, 0, 1458, 405, 3125, 108, 2125, 500, 1372, 27, 1425, 350, 1078, 75, 784, 147, 363
OFFSET
0,6
LINKS
FORMULA
a(n) = A369465(A163511(n)).
PROG
(PARI)
A000265(n) = (n>>valuation(n, 2));
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A163511(n) = if(!n, 1, my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
CROSSREFS
Cf. A000265, A003415, A163511, A369459 (rgs-transform), A369465.
Sequence in context: A087253 A197686 A331277 * A257936 A348039 A143532
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 28 2024
STATUS
approved