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A089827 Number of subsets of {1,.., n} containing no twin prime pairs. 2

%I #3 Mar 30 2012 18:50:42

%S 2,4,8,16,24,48,80,160,320,640,1280,2560,3840,7680,15360,30720,61440,

%T 122880,184320,368640,737280,1474560,2949120,5898240,11796480,

%U 23592960,47185920,94371840,188743680,377487360,566231040

%N Number of subsets of {1,.., n} containing no twin prime pairs.

%C a(n) = A000079(n) - A089828(n).

%F a(n) = if n and n-2 are primes then (if n=7 then a(n-1)*5/3 else a(n-1)*3/2) else a(n-2)*2.

%Y Cf. A071538, A001359, A006512.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Nov 12 2003

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Last modified May 12 15:05 EDT 2024. Contains 372482 sequences. (Running on oeis4.)