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 A142585 Inverse binomial transform of A014217. 3

%I

%S 1,0,1,0,-1,5,-14,35,-81,180,-389,825,-1726,3575,-7349,15020,-30561,

%T 61965,-125294,252795,-509161,1024100,-2057549,4130225,-8284926,

%U 16609455,-33282989,66669660,-133507081,267285605,-535010414,1070731475,-2142612801,4287086100

%N Inverse binomial transform of A014217.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (-3,-1,2)

%F a(n) = (-1)^(n+1) * A027974(n-4) for n > 4.

%F G.f.: (1+3*x+2*x^2+x^3)/((1+2*x)*(1+x-x^2)). - _R. J. Mathar_, Sep 22 2008

%F a(n) = (-1)^(n+1)*(2^(n-1)-F(n+1)-F(n-1)), where F(n) = A000045(n), for n>=1, with a(0)=1. - _Johannes W. Meijer_, Aug 15 2010

%F a(n) = -3*a(n-1) - a(n-2) + 2*a(n-3). - _Wesley Ivan Hurt_, Oct 06 2017

%Y Cf. A000045, A014217, A027974.

%K sign,easy

%O 0,6

%A _Paul Curtz_, Sep 21 2008

%E Edited and extended by _R. J. Mathar_, Sep 22 2008

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Last modified January 19 21:47 EST 2020. Contains 331066 sequences. (Running on oeis4.)