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Conjecture: the odd values of ceiling(2^mod(2^n,n)/3) are Jacobsthal numbers (and the even values are 1 plus a Jacobsthal number).
Table of n, a(n) for n=1..41.
Cf. A005578, A001045.
Sequence in context: A272709 A119311 A305183 * A202274 A070789 A302588
Adjacent sequences: A112989 A112990 A112991 * A112993 A112994 A112995
Paul Barry, Oct 08 2005