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

Author

Paul Curtz, Oct 10 2008

Keywords

• sign

Links

• Index entries for linear recurrences with constant coefficients, signature (-3,-3,-2)

Crossrefs

Cf. A141425, A141532.

Programs

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+1)| - 2*|a(n)| = -A117378(n-1) = A117378(n+2), n>0.

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