OFFSET
1,2
COMMENTS
Does every generation after the initial 1 contain a prime?
LINKS
Ivan Neretin, Table of n, a(n) for n = 1..10000
FORMULA
Product_{j=0..n-1} cos(6^j) = 2^(-n+1)*Sum_{i=2^(n-1)..2^n-1} cos(a(i)). - Gevorg Hmayakyan, Jan 15 2017
Sum_{i=2^(n-1)..2^n-1} cos((a(i)/6^(n-1))*(Pi/2)) = 0. - Gevorg Hmayakyan, Jan 15 2017
a(n) = 2*A032806(n-1) + 1 for n>=2. - Alois P. Heinz, Jan 29 2023
EXAMPLE
0th generation: 1
1st generation: 5 7
2nd generation: 29 31 41 43
MATHEMATICA
sss[n_]:={6n-1, 6n+1}; NestList[Sort[Flatten[sss[#]]]&, {1}, 5]//Flatten (* Harvey P. Dale, Aug 06 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 07 2008
STATUS
approved