A144471 Inverse binomial transform of A020806.
1, 3, -5, 13, -30, 61, -119, 234, -467, 937, -1878, 3757, -7511, 15018, -30035, 60073, -120150, 240301, -480599, 961194, -1922387, 3844777, -7689558, 15379117, -30758231, 61516458, -123032915, 246065833, -492131670, 984263341, -1968526679, 3937053354, -7874106707
Offset: 0
Keywords
Links
- Index entries for linear recurrences with constant coefficients, signature (-3,-3,-2)
Programs
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Maple
Digits := 200 ; read("transforms") ; read("transforms3") ; x := 1/7 ; L := CONSTTOLIST(x) ; BINOMIALi(L) ; # R. J. Mathar, Sep 07 2009 -
Mathematica
LinearRecurrence[{-3,-3,-2},{1,3,-5,13},40] (* Harvey P. Dale, Nov 11 2017 *)
Formula
a(n) = -3*a(n-1) - 3*a(n-2) - 2*a(n-3), n > 3.
G.f.: (6*x+7*x^2+9*x^3+1) / ((2*x+1) * (1+x+x^2)). - R. J. Mathar, Sep 07 2009
Extensions
Edited and extended by R. J. Mathar, Sep 07 2009