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 A168615 Inverse binomial transform of A169609, or of A144437 preceded by 1. 2

%I

%S 1,2,-2,0,6,-18,36,-54,54,0,-162,486,-972,1458,-1458,0,4374,-13122,

%T 26244,-39366,39366,0,-118098,354294,-708588,1062882,-1062882,0,

%U 3188646,-9565938,19131876,-28697814,28697814,0,-86093442,258280326,-516560652

%N Inverse binomial transform of A169609, or of A144437 preceded by 1.

%H <a href="/index/Rea#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (-3,-3).

%F a(n) = -3*a(n-1)-3*a(n-2) for n > 2; a(0) = 1, a(1) = 2, a(2) = -2.

%F a(n) = 2*A123877(n-1), n>0.

%F G.f.: 1+2*x*(1+2*x)/(1+3*x+3*x^2).

%o (MAGMA) [ n le 2 select n else n eq 3 select -2 else -3*Self(n-1)-3*Self(n-2): n in [1..37] ]; [From Klaus Brockhaus, Dec 03 2009]

%Y Cf. A169609, A144437, A000748, A057083, A057682.

%K sign

%O 0,2

%A _Paul Curtz_, Dec 01 2009

%E Edited and extended by _Klaus Brockhaus_, Dec 03 2009

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