A175227 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 every prime(1)-th number greater than the prime(1) from the remaining sequence; step 4: delete every 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, 14, 16, 22, 30, 33, 40, 49, 54, 56, 62, 77, 80, 92, 94, 99, 111, 116, 118, 132, 144, 152, 154, 166, 174, 182

Offset

1,2

Comments

Sequence of step 1: A000027, sequences of step 2: delete A000040 = primes, remaining A018252 = nonprimes, sequences of step 3: delete A099862 = {6, 9, 12, 15, 18, 21, 24, 26, 28, 32, ...}, remaining A175228 = {1, 4, 8, 10, 14, 16, 20, 22, 25, 27, ...}, sequences of step 4: delete A175229 = {10, 20, 27, 35, 44, 51, 58, 66, 75, 82, ...}, remaining A175230 = {1, 4, 8, 14, 16, 22, 25, 30, 33, 38, ...}, sequences of step 5: delete sequence = {25, 46, 64, 85, 102, 122, 140, 159, 176, 196, ...}, remaining sequence = {1, 4, 8, 14, 16, 22, 30, 33, 38, 40, ...}, ...

Links

Table of n, a(n) for n=1..28.

Crossrefs

Sequence in context: A312304 A312305 A312306 * A312307 A312308 A312309

Adjacent sequences: A175224 A175225 A175226 * A175228 A175229 A175230

Keyword

nonn

Author

Jaroslav Krizek, Mar 07 2010

Status

approved