OFFSET
1,5
FORMULA
T(n,1) = A003515(n).
T(n,k) = Sum_{Compositions n=n_1+n_2+...n_k, n_i>=1} multinomial(n; n_1,n_2,..,n_k) * T(n_1,1) * T(n_2,1) *... T(n_k,1)/ k!.
EXAMPLE
The triangle starts
1;
1,1;
0,3,1;
5,3,6,1;
51,25,15,10,1;
3634,381,90,45,15,1;
374119,26509,1596,280,105,21,1;
73161880,3095579,111370,5061,770,210,28,1;
26545249985,671957334,14411205,353262,13671,1890,378,36,1;
CROSSREFS
KEYWORD
AUTHOR
R. J. Mathar, Apr 29 2019
STATUS
approved