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

0,2

Comments

Second binomial transform is A093381.

Links

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (2,1,-2)

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).

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 *)

Crossrefs

Sequence in context: A211998 A190522 A079797 * A123228 A015832 A190753

Adjacent sequences: A093377 A093378 A093379 * A093381 A093382 A093383

Keyword

easy,nonn

Author

Paul Barry, Apr 28 2004

Status

approved