A157126 Expansion of (1-2x-3x^2+x^3-x^5)/(1+4x^3+x^6).

1, -2, -3, -3, 8, 11, 11, -30, -41, -41, 112, 153, 153, -418, -571, -571, 1560, 2131, 2131, -5822, -7953, -7953, 21728, 29681, 29681, -81090, -110771, -110771, 302632, 413403, 413403, -1129438, -1542841, -1542841, 4215120, 5757961, 5757961

Offset

0,2

Comments

Hankel transform of A157125.

Links

Table of n, a(n) for n=0..36.

Index entries for linear recurrences with constant coefficients, signature (0,0,-4,0,0,-1).

Formula

a(0)=1, a(1)=-2, a(2)=-3, a(3)=-3, a(4)=8, a(5)=11, a(n)=-4*a(n-3)-a(n-6). - Harvey P. Dale, Jan 16 2013

Mathematica

CoefficientList[Series[(1-2x-3x^2+x^3-x^5)/(1+4x^3+x^6), {x, 0, 40}], x] (* or *) LinearRecurrence[{0, 0, -4, 0, 0, -1}, {1, -2, -3, -3, 8, 11}, 40] (* Harvey P. Dale, Jan 16 2013 *)

Crossrefs

Cf. A048788.

Sequence in context: A261469 A292498 A108692 * A357655 A297703 A263464

Adjacent sequences: A157123 A157124 A157125 * A157127 A157128 A157129

Keyword

easy,sign

Author

Paul Barry, Feb 23 2009

Status

approved