OFFSET
1,2
LINKS
Gheorghe Coserea, Rows n = 1..101, flattened.
F. Chapoton, F. Hivert, J.-C. Novelli, A set-operad of formal fractions and dendriform-like sub-operads, arXiv preprint arXiv:1307.0092 [math.CO], 2013.
FORMULA
EXAMPLE
A(x;t) = x + (2*t+2)*x^2/2! + (3*t^2+9*t+4)*x^3/3! + (4*t^3+36*t^2+44*t+12)*x^4/4! + ...
Triangle starts:
n\k [1] [2] [3] [4] [5] [6] [7]
[1] 1;
[2] 2, 2;
[3] 3, 9, 4;
[4] 4, 36, 44, 12;
[5] 5, 110, 355, 250, 48;
[6] 6, 300, 2010, 3480, 1644, 240;
[7] 7, 777, 9625, 32235, 35728, 12348, 1440;
[8] ...
PROG
(PARI)
N=11; x = 'x+O('x^N);
concat(apply(p->Vec(p), Vec(serlaplace((t-1)*log(1-x) - log(-x + exp(t*log(1-x))) - x))))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gheorghe Coserea, Jan 18 2017
STATUS
approved