OFFSET
0,8
LINKS
Y-h. Guo, Some n-Color Compositions, J. Int. Seq. 15 (2012) 12.1.2, eq. (7).
Y.-h. Guo, n-Color Odd Self-Inverse Compositions, J. Int. Seq. 17 (2014) # 14.10.5, eq (1).
EXAMPLE
The triangle starts in row nu=0 with columns 0<=m<=nu as
1;
0,1;
0,0,1;
0,3,0,1;
0,0,6,0,1;
0,5,0,9,0,1;
0,0,19,0,12,0,1;
0,7,0,42,0,15,0,1;
0,0,44,0,74,0,18,0,1;
0,9,0,138,0,115,0,21,0,1;
0,0,85,0,316,0,165,0,24,0,1;
0,11,0,363,0,605,0,224,0,27,0,1;
MAPLE
MATHEMATICA
A292835[nu_, m_] := Module[{a, j, i}, a = 0; For[j = 0, j <= m, j++, i = (nu - m)/2 - j; If[IntegerQ[i], a = a + Binomial[2m + i - 1, 2m - 1]* Binomial[m, j]]]; a];
Table[Table[A292835[nu, m], {m, 0, nu}], {nu, 0, 12}] // Flatten (* Jean-François Alcover, Aug 15 2023, after Maple code *)
CROSSREFS
KEYWORD
AUTHOR
R. J. Mathar, Sep 24 2017
STATUS
approved