



1, 5, 30, 205, 1476, 11070, 85410, 672605, 5380830, 43584804, 356602950, 2941974270, 24441017580, 204257075490, 1715759433624, 14476720225405, 122626336026960, 1042323856225470, 8887182353111790, 75985409119105764, 651303506735164140, 5595289216952336550
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OFFSET

1,2


COMMENTS

A sequence in Table 1 of Hao (1991) appears to match this sequence, but there are not enough terms there to be certain. It is possible that Hao's 1989 book will clarify things, but I do not have access to it.


REFERENCES

Hao, Bai Lin, Elementary symbolic dynamics and chaos in dissipative systems. World Scientific Publishing Co., Inc., Teaneck, NJ, 1989. xvi+460 pp. ISBN: 9971506823; 997150698X


LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..200
Bailin Hao, Symbolic dynamics and characterization of complexity, Physica, D51 (1991), 161176.


FORMULA

a(n) = (1/8*n) * Sum_{dn, d odd} mu(d)*(3^(2*n/d)  1).  Andrew Howroyd, Nov 11 2018


PROG

(PARI) a(n) = sumdiv(n>>valuation(n, 2), d, moebius(d)*(3^(2*n/d)1))/(8*n); \\ Andrew Howroyd, Nov 11 2018


CROSSREFS

Cf. A136704, A253077.
Sequence in context: A118346 A234422 A091927 * A165312 A082301 A144180
Adjacent sequences: A253073 A253074 A253075 * A253077 A253078 A253079


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Feb 01 2015


EXTENSIONS

Offset corrected and terms a(14) and beyond from Andrew Howroyd, Nov 11 2018


STATUS

approved



