|
Search: id:A104984
|
|
| |
|
| 1, -1, 1, -1, -2, 1, -3, -1, -3, 1, -13, -3, -1, -4, 1, -71, -13, -3, -1, -5, 1, -461, -71, -13, -3, -1, -6, 1, -3447, -461, -71, -13, -3, -1, -7, 1, -29093, -3447, -461, -71, -13, -3, -1, -8, 1, -273343, -29093, -3447, -461, -71, -13, -3, -1, -9, 1, -2829325, -273343, -29093, -3447, -461, -71, -13, -3, -1, -10, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,5
|
|
|
COMMENT
|
Inverse matrix A104980 satisfies: SHIFT_LEFT(column 0 of A104980^p) = p*(column p+1 of A104980) for p>=0.
|
|
FORMULA
|
T(n, n) = 1, T(n+1, n) = -(n+1) for n>=0; else T(n, k) = T(n-k, 0) = -A003319(n-k-1) for n>k+1 and k>=0.
|
|
EXAMPLE
|
Triangle begins:
1;
-1,1;
-1,-2,1;
-3,-1,-3,1;
-13,-3,-1,-4,1;
-71,-13,-3,-1,-5,1;
-461,-71,-13,-3,-1,-6,1;
-3447,-461,-71,-13,-3,-1,-7,1;
-29093,-3447,-461,-71,-13,-3,-1,-8,1; ...
|
|
PROGRAM
|
(PARI) T(n, k)=if(n==k, 1, if(n==k+1, -n, -(n-k)!-sum(i=1, n-k-1, i!*T(n-k-i, 0))))
|
|
CROSSREFS
|
Cf. A104980.
Sequence in context: A029214 A134460 A130158 this_sequence A083868 A128199 A036459
Adjacent sequences: A104981 A104982 A104983 this_sequence A104985 A104986 A104987
|
|
KEYWORD
|
sign,tabl
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Apr 10 2005
|
|
|
Search completed in 0.002 seconds
|
