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A107724
Matrix logarithm of triangle A107719, read by rows.
2
0, 1, 0, 4, 2, 0, 31, 10, 3, 0, 343, 88, 19, 4, 0, 4855, 1066, 199, 31, 5, 0, 83209, 16216, 2779, 382, 46, 6, 0, 1670743, 295360, 47791, 6130, 655, 64, 7, 0, 38436673, 6254824, 970849, 119182, 11929, 1036, 85, 8, 0, 996825703, 150917560, 22697647, 2703730
OFFSET
0,4
COMMENTS
Also equals one-third of the matrix logarithm of A107717. Column 0 is A107725.
EXAMPLE
Triangle begins:
0;
1,0;
4,2,0;
31,10,3,0;
343,88,19,4,0;
4855,1066,199,31,5,0;
83209,16216,2779,382,46,6,0;
1670743,295360,47791,6130,655,64,7,0;
38436673,6254824,970849,119182,11929,1036,85,8,0; ...
PROG
(PARI) T(n, k)=local(L, M=matrix(n+1, n+1, m, j, if(m>=j, if(m==j, 1, if(m==j+1, -3*j, polcoeff(1/sum(i=0, m-j, prod(r=0, i-1, 3*r+1)*x^i)+O(x^m), m-j)))))^-1); L=sum(i=1, #M, (-1)^(i-1)*(M-M^0)^i/i); return(if(n<k || k<0, 0, L[n+1, k+1]/3))
CROSSREFS
Sequence in context: A022696 A371076 A019155 * A247092 A177715 A164789
KEYWORD
nonn,tabl
AUTHOR
Paul D. Hanna, May 30 2005
STATUS
approved