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%I #19 Apr 30 2021 02:57:25
%S 1,0,63,124,1330,4032,24388,91000,438912,1770230,7880598,32763780,
%T 141420760,594798932,2537715150,10720674000,45537538410,192699485568,
%U 817138135548,3460078306440,14662949297724,62103832718202,263115950765038,1114512523173000,4721424167330750
%N Inflation orbit counts b^{(3)}_n for Danzer's F-type tiling and other 3D cut and project patterns with tau-inflation.
%H Seiichi Manyama, <a href="/A324488/b324488.txt">Table of n, a(n) for n = 1..1000</a>
%H M. Baake, J. Hermisson, and P. Pleasants, <a href="http://dx.doi.org/10.1088/0305-4470/30/9/016">The torus parametrization of quasiperiodic LI-classes</a>, J. Phys. A 30 (1997), no. 9, 3029-3056. See Tables 5 and 6.
%F a(n) = Sum_{d|n} mu(n/d) * A001350(d)^3 = Sum_{d|n} mu(n/d) * A324487(d). - _Seiichi Manyama_, Apr 29 2021
%o (PARI) a001350(n) = fibonacci(n+1)+fibonacci(n-1)-1-(-1)^n;
%o a(n) = sumdiv(n, d, moebius(n/d)*a001350(d)^3); \\ _Seiichi Manyama_, Apr 29 2021
%Y Cf. A001350, A031367, A324487, A324489.
%K nonn
%O 1,3
%A _N. J. A. Sloane_, Mar 12 2019
%E More terms from _Seiichi Manyama_, Apr 29 2021