A175226 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, ...}.

1, 4, 8, 10, 12, 14, 16, 18, 21, 22, 24, 25, 26, 27, 30, 32, 33, 35, 36, 38, 39, 40, 42, 45, 46, 48, 50, 51, 52, 54, 55, 56, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 74, 75, 76, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90

Offset

1,2

Comments

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, ...}, ...

Links

Table of n, a(n) for n=1..55.

Crossrefs

Sequence in context: A102218 A257586 A172458 * A057166 A358228 A230854

Adjacent sequences: A175223 A175224 A175225 * A175227 A175228 A175229

Keyword

nonn

Author

Jaroslav Krizek, Mar 07 2010

Status

approved