See: Fahr-Ringel. For example, the row t = 6 provides the following partition formulae for the Fibonacci numbers f₁₃=233 and f₁₄=377: 3×(2⁵×1 + 2³×6 + 2×18) + 29 = 377,
2⁶×1 + 2⁴×5 + 2²×13 + 17 + 2×6 + 2³×1 = 233.