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%I #31 Feb 27 2024 03:05:43
%S 0,-1,-1,-3,-1,-7,3,-19,23,-63,107,-235,447,-919,1811,-3651,7271,
%T -14575,29115,-58267,116495,-233031,466019,-932083,1864119,-3728287,
%U 7456523,-14913099,29826143,-59652343,119304627,-238609315,477218567,-954437199
%N Negative values of the inverse binomial transform of A045883.
%C The inverse binomial transform of A045883 is 0,1,1,3,1,7,...
%H Vincenzo Librandi, <a href="/A140962/b140962.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0,3,-2).
%F a(n+1) - a(n) = (-1)^(n+1)*A078008(n).
%F a(n+1) - a(n) = 2*(-1)^n*A001045(n-1), n > 0.
%F a(n) = 3*a(n-2) - 2*a(n-3).
%F G.f.: -x*(1+x)/((1+2*x)*(1-x)^2). - _R. J. Mathar_, Nov 11 2008
%t LinearRecurrence[{0,3,-2},{0,-1,-1},50] (* _Paolo Xausa_, Nov 14 2023 *)
%o (Magma) [-(1/9)-(2/3)*n+(1/9)*(-2)^n: n in [0..40]]; // _Vincenzo Librandi_, Aug 08 2011
%K easy,sign
%O 0,4
%A _Paul Curtz_, Jul 27 2008
%E Edited and extended by _R. J. Mathar_, Nov 11 2008
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