A369458 Arithmetic derivative of the odd part of n, permuted by A163511 ("Doudna-sequence mirrored").

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

Antti Karttunen, Table of n, a(n) for n = 0..16384

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));
A369458(n) = A003415(A000265(A163511(n)));

Crossrefs

Cf. A000265, A003415, A163511, A369459 (rgs-transform), A369465.

Sequence in context: A087253 A197686 A331277 * A257936 A348039 A143532

Adjacent sequences: A369455 A369456 A369457 * A369459 A369460 A369461

Keyword

nonn

Author

Antti Karttunen, Jan 28 2024

Status

approved