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A302031
An omega (A001221) analog based on the Ludic sieve (A255127): a(1) = 0; for n > 1, a(n) = 1 + a(A302034(n)).
6
0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 3, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2
OFFSET
1,6
FORMULA
a(1) = 0; for n > 1, a(n) = 1 + a(A302034(n)).
a(n) = A001221(A302026(n)).
a(n) = A069010(A269388(n)).
PROG
(PARI)
\\ Assuming that A269379 and A269380 have been precomputed:
A302034(n) = if(1==n, n, my(k=0); while((n%2), n = A269380(n); k++); n = (n/2^valuation(n, 2)); while(k>0, n = A269379(n); k--); (n));
A302031(n) = if(1==n, 0, 1+A302031(A302034(n)));
CROSSREFS
Cf. A302036 (positions of terms < 2).
Differs from similar A302041 for the first time at n=59, where a(59) = 2, while A302041(59) = 1.
Sequence in context: A062893 A328512 A302041 * A371883 A237353 A293460
KEYWORD
nonn
AUTHOR
Antti Karttunen, Apr 02 2018
STATUS
approved