|
|
A113110
|
|
Triangle T, read by rows, equal to the matrix cube of triangle A113106, which satisfies the recurrence: A113106(n,k) = [A113106^5](n-1,k-1) + [A113106^5](n-1,k).
|
|
4
|
|
|
1, 3, 1, 33, 18, 1, 1251, 903, 93, 1, 173505, 151716, 22278, 468, 1, 94216515, 94758285, 17789766, 551778, 2343, 1, 210576669921, 235461277878, 53137278735, 2167944516, 13749903, 11718, 1, 2002383115518243, 2432344424403219
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
EXAMPLE
|
Triangle begins:
1;
3,1;
33,18,1;
1251,903,93,1;
173505,151716,22278,468,1;
94216515,94758285,17789766,551778,2343,1;
210576669921,235461277878,53137278735,2167944516,13749903,11718,1;
|
|
PROG
|
(PARI) {T(n, k)=local(M=matrix(n+1, n+1)); for(r=1, n+1, for(c=1, r, M[r, c]=if(r==c, 1, if(c>1, (M^5)[r-1, c-1])+(M^5)[r-1, c]))); return((M^3)[n+1, k+1])}
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|