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%I #12 Jun 13 2015 00:51:02
%S 1,3,11,45,191,813,3431,14325,59231,242973,990551,4019205,16249871,
%T 65522733,263668871,1059425685,4251986111,17050860093,68332318391,
%U 273716169765,1096025891951,4387588255053,17560809179111,70274609387445
%N An alternating sum of decreasing powers.
%C Binomial transform of A083323.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (9,-26,24).
%F a(n) = 4^n - 3^n + 2^n
%F G.f.: (1-6*x+10*x^2)/((1-2*x)*(1-3*x)*(1-4*x))
%F E.g.f.: exp(4*x) - exp(3*x) + exp(2*x)
%F a(n) = 9*a(n-1) - 26*a(n-2) + 24*a(n-3). - _Geoffrey Critzer_, Dec 01 2013
%t Table[4^n-3^n+2^n,{n,0,23}] (* _Geoffrey Critzer_, Dec 01 2013 *)
%Y Equals 2 * A053154(n) + 1.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Apr 27 2003
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