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Help me solving this sequence: need help 9,?,342,675,1230, ?,3561,5892

Source: http://zagaza.ru/za548.htm

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The full sequence is

9, 120, 342, 675, 1230, 2118, 3561, 5892

Reasoning

The difference between consecutive terms is $111$ times the $n$th Fibonacci number $$ 9 + 111 = 120$$ $$120 + 222 = 342$$ $$ 342 + 333 = 675$$ $$ 675 + 555 = 1230$$ $$ 1230 + 888 = 2118$$ $$ 2118 + (13\times111) = 3561$$ $$ 3561 + (21 \times 111) = 5892$$ And the next term would be $$ 5892 + (34 \times 111) = 9666$$

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