Find, with proof, a formula for T n , of the form T A n B n where A n and B n are well known sequences Let T 0 2, T 1 3, T 6, and for n 3, T (n 4)T n1 4nT n 2 (4n 8)T n 3 The first few terms are 2, 3, 6, 14, 40, 152, 784, 5168, 40,576

Question: Find, with proof, a formula for T n , of the form T = A n +B n where {A n } and {B n

Find, with proof, a formula for T_n, of the form T₁ = A_n +B_n where {A_n} and {B_n} are well-known sequences.
Let T₀ = 2, T₁ = 3, T₂ = 6, and for n ≥ 3,

T₁ = (n + 4)T_n−1 − 4nT_n-2 + (4n − 8)T_n-3.

The first few terms are

2, 3, 6, 14, 40, 152, 784, 5168, 40,576

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