|
Search: id:A045912
|
|
|
| A045912 |
|
Triangle of coefficients of characteristic polynomial of negative Pascal matrix with (i,j)-th entry -C(i+j-2,i-1). |
|
+0
5
|
|
| 1, 1, 1, 1, 3, 1, 1, 9, 9, 1, 1, 29, 72, 29, 1, 1, 99, 626, 626, 99, 1, 1, 351, 6084, 13869, 6084, 351, 1, 1, 1275, 64974, 347020, 347020, 64974, 1275, 1, 1, 4707, 744193, 9952274, 21537270, 9952274, 744193, 4707, 1, 1, 17577, 8965323
(list; graph; listen)
|
|
|
OFFSET
|
0,5
|
|
|
COMMENT
|
Sum of k-th row is A006366(n). Columns give A006134, A006135, A006136.
|
|
REFERENCES
|
W. F. Lunnon "The Pascal matrix", Fib. Quart. vol. 15 (1977) pp. 201-204.
|
|
LINKS
|
P. Di Francesco, P. Zinn-Justin and J.-B. Zuber, Determinant formulae for some tiling problems...
|
|
EXAMPLE
|
1; 1,1; 1,3,1; 1,9,9,1; 1,29,72,29,1; ...
|
|
PROGRAM
|
(PARI) T(n, k)=if(n<0, 0, (-1)^(n+k)*polcoeff(charpoly(matrix(n, n, i, j, binomial(i+j-2, i-1))), k))
(PARI) T(n, k)=if(n<0, 0, polcoeff(charpoly(-matrix(n, n, i, j, binomial(i+j-2, i-1))), k))
|
|
CROSSREFS
|
Sequence in context: A152655 A144493 A118180 this_sequence A158695 A106268 A060543
Adjacent sequences: A045909 A045910 A045911 this_sequence A045913 A045914 A045915
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Fred Lunnon (fred(AT)csa5.cs.may.ie)
|
|
|
Search completed in 0.002 seconds
|
