|
|
A110321
|
|
A Jacobsthal number related number triangle.
|
|
3
|
|
|
1, 1, 1, 6, 2, 1, 30, 18, 3, 1, 264, 120, 36, 4, 1, 2520, 1320, 300, 60, 5, 1, 30960, 15120, 3960, 600, 90, 6, 1, 428400, 216720, 52920, 9240, 1050, 126, 7, 1, 6894720, 3427200, 866880, 141120, 18480, 1680, 168, 8, 1, 123742080, 62052480, 15422400, 2600640
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Number triangle T(n, k)=if(k<=n, n!*J(n-k+1)/k!), 0) where J(n)=A001045(n); Column k has e.g.f. (x^k/k!)/(1-x-2x^2);
|
|
EXAMPLE
|
Rows begin
1;
1,1;
6,2,1;
30,18,3,1;
264,120,36,4,1;
2520,1320,300,60,5,1;
30960,15120,3960,600,6,1;
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|