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EXAMPLE
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Sieve starts with the natural numbers:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,...
Step 1: keep 1 term, remove the next 4, repeat; giving
1,6,11,16,21,26,31,36,41,46,51,56,61,66,...
Step 2: keep 2 terms, remove the next 4, repeat; giving
1,6,31,36,61,66,91,96,121,126,151,156,...
Step 3: keep 3 terms, remove the next 4, repeat; giving
1,6,31,96,121,126,211,216,241,306,331,...
Continuing in this way, we obtain this sequence.
Using the floor function product formula:
a(2) = 1 + [..[(2)*2/1]*3/2]*4/3]*6/5]*7/6]*8/7]*10/9]*
11/10]*12/11]*14/13]*15/14]*16/15]*18/17]*19/18]*20/19] = 21.
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