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A260772 Certain directed lattice paths. 1
1, 3, 10, 41, 190, 946, 4940, 26693, 147990, 837102, 4811860, 28027210, 165057100, 981177060, 5879570200, 35478788269, 215398416870, 1314794380374, 8064119033220, 49673222082782, 307163049317540, 1906066361809148, 11865666767361960, 74081851132379426 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See Dziemianczuk (2014) for precise definition.

LINKS

Lars Blomberg, Table of n, a(n) for n = 0..100

M. Dziemianczuk, On Directed Lattice Paths With Additional Vertical Steps, arXiv preprint arXiv:1410.5747, 2014

FORMULA

G.f.: P1(x) = 2*(1-x)/3/x - 2*sqrt(1-5*x-2*x^2)/3/x*sin((Pi/6 + acos((20*x^3-6*x^2+15*x-2)/2/(1-5*x-2*x^2)^(3/2))/3)). - See Dziemianczuk (2014), Proposition 11.

CROSSREFS

Sequence in context: A151082 A151083 A140046 * A116540 A236407 A000248

Adjacent sequences:  A260769 A260770 A260771 * A260773 A260774 A260775

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 30 2015

EXTENSIONS

More terms from Lars Blomberg, Aug 01 2015

STATUS

approved

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Last modified June 23 09:32 EDT 2018. Contains 305693 sequences. (Running on oeis4.)