recondite herculean style puzzle

From: Dante Alighieri <michel.angelo@xxxxxxxxxxxx>
Date: Wed, 31 Aug 2005 03:20:54 +0200

Given: a progressive series of positive integers.

2nd term is 1,
5th term is 18,
6th term is 78.

What is the 9th term of the series?

No score keeping, just for fun.
.

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