|
Search: id:A071534
|
|
|
| A071534 |
|
Determinant of n X n matrix of form : [1 2 1 0 0 0 0 0 0 0 / 2 1 2 1 0 0 0 0 0 0 / 1 2 1 2 1 0 0 0 0 0 / 0 1 2 1 2 1 0 0 0 0 / 0 0 1 2 1 2 1 0 0 0 / 0 0 0 1 2 1 2 1 0 0 / 0 0 0 0 1 2 1 2 1 0 / 0 0 0 0 0 1 2 1 2 1 / 0 0 0 0 0 0 1 2 1 2 / 0 0 0 0 0 0 0 1 2 1]. |
|
+0
1
|
|
| 1, -3, 0, 12, -8, -35, 57, 81, -264, -80, 1000, -495, -3159, 4221, 7912, -21140, -11568, 83997, -24495, -278783, 304336, 751296, -1665360, -1365375, 6971185, -595619, -24258384, 21035052, 69622920, -128909123, -146359223, 571337745, 73385352, -2083467984, 1364948056, 6324200785
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
G.f.: x(x^4+3x^2-3x+1)/(-x^5-3x^3+3x^2+1).
|
|
PROGRAM
|
(PARI) x=1; y=2; z=1; for(n=1, 80, print1(matdet(matrix(n, n, i, j, if(abs(i-j)-1, 0, y)+if(abs(i-j)-2, 0, z)+if(abs(i-j), 0, x))), ", "))
|
|
CROSSREFS
|
Adjacent sequences: A071531 A071532 A071533 this_sequence A071535 A071536 A071537
Sequence in context: A140093 A055314 A110890 this_sequence A135687 A057374 A058896
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 20 2002
|
|
|
Search completed in 0.002 seconds
|
