A105629 Triangular matrix, read by rows, equal to the matrix logarithm of triangle A105623.
0, 1, 0, 3, 2, 0, 17, 7, 3, 0, 135, 43, 13, 4, 0, 1353, 361, 93, 21, 5, 0, 16251, 3779, 883, 175, 31, 6, 0, 226857, 47077, 10277, 1893, 297, 43, 7, 0, 3605775, 678443, 140743, 24735, 3631, 467, 57, 8, 0, 64288209, 11095201, 2211413, 376209, 52961, 6385, 693
Offset: 0
Examples
Triangle begins: 0; 1,0; 3,2,0; 17,7,3,0; 135,43,13,4,0; 1353,361,93,21,5,0; 16251,3779,883,175,31,6,0; 226857,47077,10277,1893,297,43,7,0; 3605775,678443,140743,24735,3631,467,57,8,0; 64288209,11095201,2211413,376209,52961,6385,693,73,9,0; ...
Programs
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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,-2*j, polcoeff(1/sum(i=0,m-j,(2*i)!/i!/2^i*x^i)+O(x^m),m-j)))))^-1); L=sum(i=1,#M,(-1)^(i-1)*(M-M^0)^i/i); return(if(n
Comments