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Home » -\frac76 + \frac636 - \frac1646 + d = 3 - jntua results

-\frac76 + \frac636 - \frac1646 + d = 3 - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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If the first digit is 3, the next must be 4, and the rest $n-2$ digits...
a_1 = 2 \quad (\text{3 or 4}),\quad a_2 = 3 \quad (\text{34, 43, 44})
Compute up to $a_8$:
a_3 = a_2 + a_1 = 3 + 2 = 5 \\
a_4 = a_3 + a_2 = 5 + 3 = 8 \\
a_5 = a_4 + a_3 = 8 + 5 = 13 \\
a_6 = a_5 + a_4 = 13 + 8 = 21 \\
a_7 = a_6 + a_5 = 21 + 13 = 34 \\
a_8 = a_7 + a_6 = 34 + 21 = 55
So, number of 8-digit numbers **without** consecutive 3s is 55.

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