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%I #8 Mar 30 2022 18:19:08
%S 1,3,7,15,32,70,156,348,768,1672,3600,7696,16384,34784,73664,155584,
%T 327680,688256,1442048,3014912,6291456,13106688,27261952,56622080,
%U 117440512,243271680,503320576,1040191488,2147483648
%N Binomial transform of A004524 starting at 1.
%C Twisted numbers. b(n)=a(n)-2^n=0, 1, 3, 7, 16, 38, 92, 220, 512, 1160, 2576, twisted numbers. b(n+1)-2b(n)=1, 1, 1, 2, 6, 16, 36, 72, 136, 256.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (6,-14,16,-8).
%F a(n+1)-2a(n) = 1, 1, 1, 2, 6, 16, 36, 72, 136, 256 = essentially A038503.
%F O.g.f.: (1-x)^3/[(1-2x+2x^2)(-1+2x)^2]. a(n)=6*a(n-1)-14*a(n-2)+16*a(n-3)-8*a(n-4). - _R. J. Mathar_, Apr 02 2008
%F 4*a(n) = (n+4)*2^n+2*A009545(n). - _R. J. Mathar_, Nov 01 2021
%t LinearRecurrence[{6,-14,16,-8},{1,3,7,15},30] (* _Harvey P. Dale_, Mar 30 2022 *)
%K nonn,easy
%O 0,2
%A _Paul Curtz_, Nov 12 2007
%E More terms from _R. J. Mathar_, Apr 02 2008
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