A113142 Expansion of x(1-3x+x^2+x^3)/(1+x)^2.

0, 1, -5, 10, -14, 18, -22, 26, -30, 34, -38, 42, -46, 50, -54, 58, -62, 66, -70, 74, -78, 82, -86, 90, -94, 98, -102, 106, -110, 114, -118, 122, -126, 130, -134, 138, -142, 146, -150, 154, -158, 162, -166, 170, -174, 178, -182, 186

Offset

0,3

Comments

Second column in number triangle A113141.

Links

Table of n, a(n) for n=0..47.

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

Formula

a(n)=-(-1)^n*(4n-2-C(1, n-1)+2*C(0, n)).

Mathematica

CoefficientList[Series[(x(1-3x+x^2+x^3))/(1+x)^2, {x, 0, 100}], x] (* or *) LinearRecurrence[{-2, -1}, {0, 1, -5, 10, -14}, 100] (* Harvey P. Dale, Mar 23 2021 *)

Crossrefs

Sequence in context: A313472 A313473 A190746 * A313474 A313475 A313476

Adjacent sequences: A113139 A113140 A113141 * A113143 A113144 A113145

Keyword

easy,sign

Author

Paul Barry, Oct 15 2005

Status

approved