A082386 Let S(0) = {1} and for k >= 1, let S(k) = {S(k-1), S(k-1), 2T}, where T = sum of terms in S(k-1). Sequence is S(infinity).
1, 1, 2, 1, 1, 2, 8, 1, 1, 2, 1, 1, 2, 8, 32, 1, 1, 2, 1, 1, 2, 8, 1, 1, 2, 1, 1, 2, 8, 32, 128, 1, 1, 2, 1, 1, 2, 8, 1, 1, 2, 1, 1, 2, 8, 32, 1, 1, 2, 1, 1, 2, 8, 1, 1, 2, 1, 1, 2, 8, 32, 512, 1, 1, 2, 1, 1, 2, 8, 1, 1, 2, 1, 1, 2, 8, 32, 1, 1, 2, 1, 1, 2, 8, 1, 1, 2, 1, 1, 2, 8, 32, 128, 1, 1, 2, 1, 1, 2
Offset: 0
Keywords
Crossrefs
Cf. A082388.
Formula
For k>=2, a(2^k-1)=2*4^(k-2).