OFFSET
1,2
LINKS
G. G. Wojnar, D. Sz. Wojnar, and L. Q. Brin, Universal Peculiar Linear Mean Relationships in All Polynomials, Table GW.n=3, p.22, arXiv:1706.08381 [math.GM], 2017.
FORMULA
T(n+1,k+1) = 3*T(n,k) + 3*T(n,k+1).
EXAMPLE
Triangle begins:
1, 2;
3, 9, 6;
9, 36, 45, 18;
MATHEMATICA
T[1, 1] = 1; T[1, 2] = 2;
T[n_, k_] /; 1 <= k <= n+1 := T[n, k] = 3 T[n-1, k-1] + 3 T[n-1, k];
T[_, _] = 0;
Table[T[n, k], {n, 1, 9}, {k, 1, n+1}] // Flatten (* Jean-François Alcover, Nov 16 2018 *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Gregory Gerard Wojnar, Jun 17 2017
STATUS
approved