A093380 Expansion of (1+4x+x^2-10x^3)/((1-x)(1-x-2x^2)).
1, 6, 14, 22, 46, 86, 174, 342, 686, 1366, 2734, 5462, 10926, 21846, 43694, 87382, 174766, 349526, 699054, 1398102, 2796206, 5592406, 11184814, 22369622, 44739246, 89478486, 178956974, 357913942, 715827886, 1431655766, 2863311534
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (2,1,-2)
Programs
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Mathematica
Block[{$RecursionLimit=1000}, CoefficientList[Series[(1+4x+x^2-10x^3)/((1-x)(1-x-2x^2)),{x,0,40}],x]] (* or *) LinearRecurrence[{2,1,-2},{1,6,14,22},40] (* Harvey P. Dale, Dec 18 2022 *)
Formula
a(n)=2-5*0^n+4(2*2^n/3+(-1)^n/3); a(n)=2-5*0^n+4*A001045(n+1).
Comments