OFFSET
0,4
EXAMPLE
Triangle begins:
0;
1,0;
3,2,0;
14,5,3,0;
84,22,8,4,0;
600,128,36,12,5,0;
4908,896,212,58,17,6,0;
44952,7220,1496,360,90,23,7,0;
454344,65336,12128,2652,602,134,30,8,0;
5016768,653720,110288,22320,4736,974,192,38,9,0; ...
PROG
(PARI) T(n, k)=local(M=matrix(n+1, n+1, m, j, if(m==j, 1, if(m==j+1, -m+1, -(m-j-1)*polcoeff(log(sum(i=0, m, (i+1)!/1!*x^i)), m-j-1))))); return(if(n<k || k<0, 0, sum(i=1, #M, (M^0-M)^i/i)[n+1, k+1]))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Paul D. Hanna, Aug 06 2005
STATUS
approved