OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000 (terms 0..282 from Carauleanu Marc)
FORMULA
G.f.: (sqrt(1-8*x)+3)^2/(2*(sqrt(1-8*x)+1)^3*sqrt(1-8*x)).
a(n) ~ 9*2^(3*n-1)/sqrt(Pi*n). - Ilya Gutkovskiy, Nov 23 2016
MATHEMATICA
CoefficientList[Series[(Sqrt[1 - 8*x] + 3)^2/(2*(Sqrt[1 - 8*x] + 1)^3* Sqrt[1 - 8*x]), {x, 0, 50}], x] (* G. C. Greubel, Apr 09 2017 *)
PROG
(Maxima)
taylor((sqrt(1-8*x)+3)^2/(2*(sqrt(1-8*x)+1)^3*sqrt(1-8*x)), x, 0, 10);
(PARI) x='x+O('x^50); Vec((sqrt(1-8*x)+3)^2/(2*(sqrt(1-8*x) +1)^3*sqrt(1 -8*x))) \\ G. C. Greubel, Apr 09 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Kruchinin, Nov 23 2016
STATUS
approved