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 A105999 Semiprimeth recurrence: a(0) = 1, a(n+1) = semiprime(a(n)) = A001358(a(n)). 6
 1, 4, 10, 26, 77, 235, 779, 2785, 10643, 43697, 192893, 915218, 4657929, 25380749, 147721169, 916036271, 6037442989, 42191467826, 311911160465, 2434014941905, 20007995450483, 172911791611798, 1568190042677867 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Semiprime equivalent of R. G. Wilson's primeth recurrence: A007097. LINKS EXAMPLE a(1) = A001358(1) = 4, a(2) = A001358(a(1)) = A001358(4) = 10, a(3) = A001358(a(2))) = A001358(10) = 26. MATHEMATICA SemiPrimePi[n_] := Sum[PrimePi[n/Prime@i] - i + 1, {i, PrimePi@ Sqrt@n}]; SemiPrime[n_] := Block[{e = Floor[Log[2, n] + 1], a, b}, a = 2^e; Do[b = 2^p; While[SemiPrimePi@a < n, a = a + b]; a = a - b/2, {p, e, 0, -1}]; a + b/2]; NestList[SemiPrime@# &, 1, 18] (* Robert G. Wilson v, May 31 2006 *) CROSSREFS Cf. A001358, A007097, A091022, A105997, A105998. Sequence in context: A087222 A130583 A240048 * A192210 A121494 A122744 Adjacent sequences:  A105996 A105997 A105998 * A106000 A106001 A106002 KEYWORD nonn AUTHOR Jonathan Vos Post, Apr 29 2005 EXTENSIONS a(5)-a(15) from Robert G. Wilson v, Apr 30 2005 a(16)-a(20) from Robert G. Wilson v, May 31 2006 a(21)-a(22) from Donovan Johnson, Sep 24 2010 STATUS approved

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Last modified November 29 13:17 EST 2021. Contains 349416 sequences. (Running on oeis4.)