|
Search: id:A113996
|
|
| |
|
| 1, 5, 25, 125, 665, 3825, 23977, 164105, 1225225, 9954981, 87750065, 836288501, 8587255313, 94679407585, 1117195703729, 14064269132049, 188338637653329, 2675444736963557, 40212844609440521, 637967091730240877
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
EXAMPLE
|
A113983^5, the matrix 5-th power of triangle A113983, begins:
1;
5,1;
25,10,1;
125,75,15,1;
665,525,155,20,1;
3825,3705,1425,265,25,1;
23977,27275,12765,3035,405,30,1;
164105,212879,116175,33105,5565,575,35,1;
1225225,1774905,1097311,360055,71665,9225,775,40,1; ...
|
|
PROGRAM
|
(PARI) {a(n)=local(A, B); A=Mat(1); for(m=2, n+2, B=matrix(m, m); for(i=1, m, for(j=1, i, if(i<3|j==1|j==i, B[i, j]=1, B[i, j]=A[i-1, j-1]+(A^2)[i-2, j-1] ); )); A=B); (A^5)[n+1, 1]}
|
|
CROSSREFS
|
Cf. A113993, A113989 (column 1), A113994 (column 2), A113995 (column 3), A113997 (row sums); A113983.
Adjacent sequences: A113993 A113994 A113995 this_sequence A113997 A113998 A113999
Sequence in context: A097680 A069030 A111993 this_sequence A062875 A140288 A061835
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Nov 12 2005
|
|
|
Search completed in 0.002 seconds
|
