calculation puzzle - Two honeycomb hints (yet another 'find the next number in the sequence')

Find the next number in the sequence $1,7,74,\dots$

First hint:

Second hint:

To clarify: the 'hints' are really clues. They are hidden, because any of the two alone could be enough to solve the puzzle. So, anyone who is interested, can look up only one hint, or both.

There is a simple rule for both cases, all the blanks can be filled and the sequence can be continued ad infinitum.

Answer

Your answer is, after some minor corrections:

1017.

Because:

The rule is that

you fill out the honeycomb by simply adding the sum of the surrounding cells into the next cell clockwise.

The second hint can be filled out analogously:

It would be interesting to see in another solution what is the mathematics behind this rule. I suspect nice recursions lurking behind the scenes.