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 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, -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; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA G.f.: x(x^4+3x^2-3x+1)/(-x^5-3x^3+3x^2+1). PROG (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 Sequence in context: A194093 A055314 A110890 * A135687 A057374 A058896 Adjacent sequences:  A071531 A071532 A071533 * A071535 A071536 A071537 KEYWORD easy,sign AUTHOR Benoit Cloitre, Jun 20 2002 STATUS approved

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