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A158916 Inverse binomial transform of A153130. 3

%I #13 Jan 03 2024 08:48:59

%S 1,1,1,1,-8,19,-35,64,-125,253,-512,1027,-2051,4096,-8189,16381,

%T -32768,65539,-131075,262144,-524285,1048573,-2097152,4194307,

%U -8388611,16777216,-33554429,67108861,-134217728,268435459,-536870915,1073741824,-2147483645

%N Inverse binomial transform of A153130.

%C a(n)= A154589(n)+ A099838(n+4).

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

%F a(n)= -3a(n-1)-3a(n-2)-2a(n-3), n > 3.

%F G.f.: (4*x+7*x^2+9*x^3+1)/((2*x+1)*(1+x+x^2)). [R. J. Mathar, May 17 2009]

%t LinearRecurrence[{-3,-3,-2},{1,1,1,1},40] (* _Harvey P. Dale_, Feb 04 2019 *)

%K sign

%O 0,5

%A _Paul Curtz_, Mar 30 2009

%E Edited and extended by _R. J. Mathar_, May 17 2009

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)