|
| |
|
|
A111541
|
|
Matrix logarithm of triangle A111536.
|
|
6
|
|
|
|
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, 60062352, 7155104
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,4
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
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
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
