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Sequence of the remaining nonprimes out of sieve of type: {step 1: starting with the sequence of positive integers A000027; step 2: delete every prime number A000040; step 3: delete prime(1)-th number greater than the prime(1) from the remaining sequence; step 4: delete prime(2)-th number greater than the prime(2) from the remaining sequence; etc. for prime(k)-th numbers for k = 3, 4, 5, ...}.
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%I #5 Feb 04 2013 02:46:42

%S 1,4,8,10,12,14,16,18,21,22,24,25,26,27,30,32,33,35,36,38,39,40,42,45,

%T 46,48,50,51,52,54,55,56,58,60,62,63,64,65,66,68,69,70,74,75,76,78,80,

%U 81,82,84,85,86,87,88,90

%N Sequence of the remaining nonprimes out of sieve of type: {step 1: starting with the sequence of positive integers A000027; step 2: delete every prime number A000040; step 3: delete prime(1)-th number greater than the prime(1) from the remaining sequence; step 4: delete prime(2)-th number greater than the prime(2) from the remaining sequence; etc. for prime(k)-th numbers for k = 3, 4, 5, ...}.

%C Sequence of step 1: A000027, sequences of step 2: delete A000040 = primes, remaining A018252 = nonprimes, step 3: delete 2nd numbers greater than the number 2 from the remaining sequence, i.e. number 6, remaining sequence = {1, 4, 8, 9, 10, 12, 14, 15, 16, 18, 20, ...}, step 4: delete 3rd numbers after number 3 from the remaining sequence, i.e.number 9, remaining sequence = {1, 4, 8, 10, 12, 14, 15, 16, 18, 20, ...}, step 5: delete 5th numbers after number 5 from the remaining sequence, i.e.number 15, remaining sequence = {1, 4, 8, 10, 12, 14, 16, 18, 20, ...}, ...

%K nonn

%O 1,2

%A _Jaroslav Krizek_, Mar 07 2010