OFFSET
0,5
EXAMPLE
Triangle begins:
1;
1,1;
1,3,1;
1,11,5,1;
1,51,29,7,1;
1,291,189,55,9,1;
1,1955,1373,463,89,11,1;
1,14947,11037,4159,921,131,13,1;
1,127203,97565,39871,9945,1611,181,15,1;
1,1188067,942109,408703,112217,20411,2581,239,17,1; ...
where diagonals are generated by row polynomials:
T(6,5) = (1) + (1)*(2*5) = 11.
T(6,4) = (1) + (3)*(2*4) + (1)*(2*4)^2 = 89.
T(6,3) = (1) + (11)*(2*3) + (5)*(2*3)^2 + (1)*(2*3)^3 = 463.
T(6,2) = (1) + (51)*(2*2) + (29)*(2*2)^2 + (7)*(2*2)^3 + (1)*(2*2)^4 = 1373.
PROG
(PARI) T(n, k)=if(n<k || k<0, 0, if(n==k || k==0, 1, sum(j=0, n-k, T(n-k, j)*(2*k)^j)))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Paul D. Hanna, Nov 08 2005
STATUS
approved