OFFSET
0,4
REFERENCES
(*http : // mathworld.wolfram.com/DihedralGroupD3.html*)
FORMULA
<< MathWorld`Groups` M0 = DihedralGroupMatrices[5]; s[n_] := M0[[n]] a[0] = Table[Fibonacci[n], {n, 0, 9}]; a[1] = Table[Fibonacci[n], {n,1, 10}]; a[n_] := a[n] = {a[n - 1][[2]], a[n - 1][[3]], a[n - 1][[4]], a[n - 1][[5]], a[n - 1][[6]], a[n - 1][[7]], a[n - 1][[8]], a[n - 1][[9]], a[n - 1][[10]], Abs[Det[Sum[a[n - 1][[i]]*s[i], {i, 1, 10}]]]}
MATHEMATICA
Clear[a, f, s] (*http : // mathworld.wolfram.com/DihedralGroupD3.html*) << MathWorld`Groups` M0 = DihedralGroupMatrices[5]; s[n_] := M0[[n]] a[0] = Table[Fibonacci[n], {n, 0, 9}]; a[1] = Table[Fibonacci[n], {n, 1, 10}]; a[n_] := a[n] = {a[n - 1][[2]], a[n - 1][[3]], a[n - 1][[4]], a[n - 1][[5]], a[n - 1][[6]], a[n - 1][[7]], a[n - 1][[8]], a[n - 1][[9]], a[n - 1][[10]], Abs[Det[Sum[a[n - 1][[i]]*s[i], {i, 1, 10}]]]} Table[Floor[a[n][[1]]], {n, 0, 16}]
CROSSREFS
KEYWORD
nonn,uned
AUTHOR
Roger L. Bagula, Aug 10 2006
STATUS
approved