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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
OFFSET
0,4
FORMULA
T(n,k) = n!*J(n-k+1)/k!, 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;
30960,15120,3960,600,90,6,1;
CROSSREFS
Row sums are A110322.
Antidiagonal sums are A110323.
Inverse is A110324.
Sequence in context: A289711 A101818 A138186 * A377763 A111553 A141473
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Jul 20 2005
STATUS
approved