Wrong reward received for Uncles!

[federicoon]

As announced on the forum:

The successful PoW miner of the winning block receives:

• A static block reward for the 'winning' block, consisting of exactly 5.0 Ether

[...]

Uncles included in a block formed by the successful PoW miner receive:

• 7/8 of the static block reward

Thus miners who found an Uncle should get 7/8 of 5.0 Ether = 4.375 Ether
In fact we only received 3.75 Ether per Uncle, so we're missing 0.625 Ether per Uncle!

[obscuren]

No. The uncle reward formula is (U_n + 8 - B_n) * R / 8

So:
uncle 0 == 4.375
uncle 1 == 3.75

Here's an example

B_n = 6, R = 5

U_0 = (5 + 8 - 6) * 5 / 8 == 4.375
U_1 = (4 + 8 - 6) * 5 / 8 == 3.75

[federicoon]

Thank you. Then the announcement was not stated correctly.
Anyway, what does B_n stand for? I see R is the static reward and U_n the uncle rank, but can't figure out what B_n represents.

[obscuren]

Block number :)

[federicoon]

Sorry, I'm still missing something... my understanding was U_n is a relative order, i. e. the n-th uncle for some block, so the n count resets after a new block is mined and added to the chain. Am I wrong then?
The block number is an absolute value instead (over 30k right now), so I don't understand how that formula can work. I'm confused...

[obscuren]

It's not count. It's number. Uncle number (block number); not inclusion count.

[federicoon]

I see, thank you. Can you please point me to some detailed documentation on how uncles are included? I still can't see how you ensure there are enough uncles so that U_n + 8 - B_n > 0 at any time.

[Gustav-Simonsson]

@federicoon See yellow paper section 11.3 equation 144: gavwood.com/paper.pdf

[federicoon]

Ommer? What the heck does that mean? Is it the same as uncle?
EDIT: ok, I think I got the answer. First, I didn't know there can be up to 2 uncles per block.
Then the most important point I was missing: uncles and block share the same numbers!
I though there was a different numeration for uncles, unrelated to that for the blocks.
Rather, if the uncle is one level above the block, then its number is equal to the block's father number, i.e. [block number] - 1. If its 2 levels above, then [block number] - 2, etc. Am I correct?

[perl5577]

I not undestand equation 143 .

What Bu ?

How many for reward ommer ?