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 A302037 A bigomega (A001222) analog  based on the Ludic sieve (A255127): a(1) = 0; for n > 1, a(n) = 1 + a(A302032(n)). 6
 0, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 2, 3, 3, 2, 1, 4, 1, 2, 2, 3, 1, 3, 2, 5, 3, 2, 2, 4, 1, 3, 2, 4, 1, 4, 1, 3, 4, 2, 1, 5, 3, 2, 3, 3, 1, 3, 2, 4, 3, 2, 2, 4, 1, 3, 2, 6, 2, 4, 1, 3, 4, 3, 1, 5, 2, 2, 2, 4, 1, 3, 3, 5, 3, 2, 1, 5, 3, 2, 3, 4, 1, 5, 1, 3, 5, 2, 2, 6, 1, 4, 2, 3, 2, 4, 2, 4, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Antti Karttunen, Table of n, a(n) for n = 1..32768 FORMULA a(1) = 0; for n > 1, a(n) = 1 + a(A302032(n)). a(n) = A000120(A269388(n)). a(n) = A001222(A302026(n)). PROG (PARI) \\ Assuming that A269379 and A269380 have been precomputed: A302032(n) = if(1==n, n, my(k=0); while((n%2), n = A269380(n); k++); n = n/2; while(k>0, n = A269379(n); k--); (n)); A302037(n) = if(1==n, 0, 1+A302037(A302032(n))); CROSSREFS Cf. A302026, A302032. Cf. A003309 (gives the positions of terms <= 1), A302038 (gives the positions of 2's). Cf. A302031 (an omega-analog), A253557. Sequence in context: A326189 A324190 A098893 * A069248 A329378 A329617 Adjacent sequences:  A302034 A302035 A302036 * A302038 A302039 A302040 KEYWORD nonn AUTHOR Antti Karttunen, Apr 01 2018 STATUS approved

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Last modified September 29 10:06 EDT 2020. Contains 337428 sequences. (Running on oeis4.)