A178114 Expansion of (sqrt(1-2x+7x^2-6x^3+5x^4)-(1-x+x^2))/(2x^2(1-x+x^2)).

1, 1, -1, -3, 0, 8, 6, -21, -37, 45, 175, -22, -703, -533, 2370, 4321, -5930, -23560, 3534, 104035, 81083, -376267, -705158, 993738, 4047745, -604007, -18622243, -14895477, 69622834, 133284470, -188549209, -784970693, 110402283

Offset

0,4

Comments

Hankel transform is A178115.

Links

Table of n, a(n) for n=0..32.

Formula

D-finite with recurrence: +(n+2)*a(n) +2*(-n-1)*a(n-1) +(7*n-4)*a(n-2) +2*(-3*n+4)*a(n-3) +5*(n-2)*a(n-4)=0. - R. J. Mathar, Feb 10 2015

Mathematica

CoefficientList[Series[(Sqrt[1-2x+7x^2-6x^3+5x^4]-(1-x+x^2))/(2x^2 (1-x+x^2)), {x, 0, 40}], x] (* Harvey P. Dale, Dec 01 2013 *)

Crossrefs

Sequence in context: A201665 A137204 A021328 * A107370 A201580 A234518

Adjacent sequences: A178111 A178112 A178113 * A178115 A178116 A178117

Keyword

easy,sign

Author

Paul Barry, May 20 2010

Status

approved