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%I #14 Jul 02 2023 15:48:13
%S 1,12,35,82,177,368,751,1518,3053,6124,12267,24554,49129,98280,196583,
%T 393190,786405,1572836,3145699,6291426,12582881,25165792,50331615,
%U 100663262,201326557,402653148,805306331,1610612698,3221225433
%N a(n) = 2^n + 2^(n - 1) - n - 8.
%D B. Elspas, The theory of multirail cascades, in A. Mukhopadhyay, ed., Recent Developments in Switching Theory, Ac. Press, 1971, Chap. 8, see esp. p. 362 (YT(n)).
%H Harry J. Smith, <a href="/A058968/b058968.txt">Table of n, a(n) for n = 3..200</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4, -5, 2).
%F G.f.: x^3*(1+8*x-8*x^2)/((1-x)^2*(1-2*x)). [_Colin Barker_, Apr 22 2012]
%o (PARI) { for (n = 3, 200, write("b058968.txt", n, " ", 2^n + 2^(n - 1) - n - 8); ) } \\ _Harry J. Smith_, Jun 24 2009
%K nonn,easy
%O 3,2
%A _N. J. A. Sloane_, Jan 14 2001
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