OFFSET
0,5
EXAMPLE
Triangle starts:
[0] [1]
[1] [1, 1]
[2] [1, 2, 1]
[3] [1, 3, 3, 3]
[4] [1, 4, 6, 8, 10]
[5] [1, 5, 10, 16, 27, 34]
[6] [1, 6, 15, 28, 54, 94, 116]
[7] [1, 7, 21, 45, 95, 192, 329, 396]
[8] [1, 8, 28, 68, 155, 344, 688, 1152, 1353]
[9] [1, 9, 36, 98, 240, 571, 1260, 2466, 4034, 4631]
MAPLE
X := 10: f := x -> 3/2 + (x - sqrt(1 - 4*x))*(2*x - 1)/(6*x - 2):
ogf := (x, t) -> f(x)/(1 - t*x*f(x)): ser := series(ogf(x, t), x, X+1):
row := n -> PolynomialTools:-CoefficientList(coeff(ser, x, n), t, 'termorder' = 'reverse'): ListTools:-Flatten([seq(row(n), n=0..X)]);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Oct 23 2018
STATUS
approved