This sequence determines the "lim sup" of the growth of A151723.
Table of n, a(n) for n=0..13.
It appears that a(n)/4^n converges to a constant c which is roughly 0.635.
Sequence in context: A017944 A017945 A055451 * A149440 A149441 A149442
Adjacent sequences: A163859 A163860 A163861 * A163863 A163864 A163865
N. J. A. Sloane, May 11 2010
a(8) onwards from David Applegate, May 12 2010