OFFSET
0,5
LINKS
M. Domaratzki, A Generalization of the Genocchi Numbers with Applications to Enumeration of Finite Automata, Technical Report No. 2001-449, September 2001, 11 pages.
John Riordan, Letter, Apr 28 1976.
FORMULA
Recurrence: T(n, k) = k^3*T(n-1, k) + T(n-1, k-1), T(0, 0)=1.
EXAMPLE
1;
1, 1;
1, 9, 1;
1, 73, 36, 1;
1, 585, 1045, 100, 1;
...
MATHEMATICA
T[n_, n_] = 1;
T[n_ /; n>=0, k_] /; 0<=k<=n := T[n, k] = (k+1)^3 T[n-1, k]+T[n-1, k-1];
T[_, _] = 0;
Table[T[n, k], {n, 0, 8}, {k, 0, n}] // Flatten (* Jean-François Alcover, May 08 2022 *)
CROSSREFS
KEYWORD
tabl,nonn
AUTHOR
Ralf Stephan, Sep 08 2004
STATUS
approved