0,2

Conjecture: a(n) is prime if n is not 0 nor 2.

Conjecture: a(n) is the 2n-2th prime for n>1. A109852(2^n-1): 1,3,5,11,17,23,31,41,47,59,67,73. - Robert G. Wilson v (rgwv(at)rgwv.com), Jun 14 2006

Conjecture: the Union of A109852(2^n-1) & A109852(2^n) is A046022: {1,2,3,4,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79, ...,} and expect for 4, equals A008578: The non-composite numbers. - Robert G. Wilson v (rgwv(at)rgwv.com), Jun 14 2006

f[s_] := Block[{k = 2, len = Length@s}, exp = Ceiling[Log[2, len]]; m = s[[2^exp - len + 1]]; While[MemberQ[s, k*m], k++ ]; Append[s, k*m]]; Rest@Nest[f, {1, 1}, 70]; t = Rest@Nest[f, {1, 1}, 2^14 + 3]; Table[t[[2^n]], {n, 0, 14}] - Robert G. Wilson v (rgwv(at)rgwv.com), Jun 14 2006

Cf. A109852, A046022, A008578.

Adjacent sequences: A109850 A109851 A109852 this_sequence A109854 A109855 A109856

Sequence in context: A018414 A002152 A002466 this_sequence A127977 A112997 A037032

more,nonn

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 07 2005

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Jun 14 2006