Brualdi shows that D_n = (n-1) (D_{n-2} + D_{n-1})
... linear recurrence relation with constant coefficients if there is an m, and constants c_1, c_2, …, c_m, and some function g_n, such that for all n m, (1) a_n = c_1 a_{n-1} + c_2 a_{n-2} + ... + c_m a_{n-m} + g_n. If c_m ≠ 0, we say that the recurrence relation has order m. If g_n = 0, we say the r ...
... linear recurrence relation with constant coefficients if there is an m, and constants c_1, c_2, …, c_m, and some function g_n, such that for all n m, (1) a_n = c_1 a_{n-1} + c_2 a_{n-2} + ... + c_m a_{n-m} + g_n. If c_m ≠ 0, we say that the recurrence relation has order m. If g_n = 0, we say the r ...
Geodesics, volumes and Lehmer`s conjecture Mikhail Belolipetsky
... setting, the volume would have to grow much faster. It is unknown if for n ≥ 4 there exist hyperbolic n-manifolds M with Syst1 (M ) → 0 and Vol(M ) growing slower than a polynomial in 1/Syst1 (M ). Let us also remark that an alternative proof of part (A) of Theorem 1 can be given using the original ...
... setting, the volume would have to grow much faster. It is unknown if for n ≥ 4 there exist hyperbolic n-manifolds M with Syst1 (M ) → 0 and Vol(M ) growing slower than a polynomial in 1/Syst1 (M ). Let us also remark that an alternative proof of part (A) of Theorem 1 can be given using the original ...
