OFFSET
0,5
LINKS
Tian-Xiao He and Roksana SÅ‚owik, Total Positivity of Almost-Riordan Arrays, arXiv:2406.03774 [math.CO], 2024. See pp. 16-17.
EXAMPLE
The triangle begins as:
1;
1, 1;
1, 2, 1;
1, 4, 4, 1;
1, 9, 13, 6, 1;
1, 23, 41, 26, 8, 1;
1, 65, 131, 101, 43, 10, 1;
1, 197, 428, 376, 197, 64, 12, 1;
...
MATHEMATICA
T[n_, 0]:=1; T[n_, k_]:=SeriesCoefficient[2/((1-x)(1+Sqrt[1-4x]))((1-2x-Sqrt[1-4x])/(2x))^(k-1), {x, 0, n-1}]; Table[T[n, k], {n, 0, 10}, {k, 0, n}]//Flatten
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Stefano Spezia, Jun 16 2024
STATUS
approved