OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
FORMULA
D-finite with recurrence: 0 = (n^2+17*n+72)*a(n+8) - 4*(2*n^2+31*n+120)*a(n+7) + 2*(7*n^2+101*n+363)*a(n+6) + (19*n^2+203*n+540)*a(n+5) - 3*(9*n^2+81*n+182)*a(n+4) - 2*(28*n^2+269*n+627)*a(n+3) - 36*(n+4)^2*a(n+2) + 3*(11*n^2+31*n+14)*a(n+1) + 6*(2*n^2+7*n+6)*a(n).
G.f.: (-1+3*x+sqrt(1-2*x-3*x^2-4*x^3))/(2*x*(1-3*x-x^2)).
MATHEMATICA
CoefficientList[Series[(-1+3x+Sqrt[1-2x-3x^2-4x^3])/(2x(1-3x-x^2)), {x, 0, 27}], x]
PROG
(PARI) x='x+O('x^30); Vec((-1+3*x+sqrt(1-2*x-3*x^2-4*x^3))/(2*x*(1-3*x-x^2))) \\ G. C. Greubel, Dec 26 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Emanuele Munarini, May 06 2011
STATUS
approved