The formula I have so far is as follows
Bankroll - R
Maximum bet- M
starting bet - B
(FYI I'm using an iPad I don't have the division symbol so ill use / )
R / 3.9= M
( R / 5 ) / 100 = B
Simply you have a loss chance of 7-8 losses if you lose 8 times you go bust so you have to win on your 8th roll. Now I have a lot of martingale experience from roullette red/black which has the same odds 48.9% or so for a 2x payout. You rarely get 8losses in a row most of the time you rack up4-5 losses but you do get an 8th loss even more which will make you bust.
An example of the formula using a 50btc bankroll
50 / 3.9 =12.82
50/500 = 0.1
1- 0.1 -0.1
2- 0.2 -0.3
3- 0.4 -0.7
4- 0.8 -1.5
5- 1.6 -3.1
6- 3.2 -6.3
7- 6.4 -12.7
8- 12.8 -25.5
After that you simply don't rebet. You will be able to approximately go bust 2 times using this formula. Again don't use your whole btc balance only put aside what you are prepared to lose . Now you can have 2 busts type these into bot dice to simulate and I think you will find out of about 10 times you get a usual 3-5btc profit over 100 plays 7/10 times 1/10 you find you make a huge profit if your very lucky and 2/10 you go bust. These stats are based on chance though you can't predict everything martingale is only to minimise loss but we don't have an infinite bankroll and frankly betting the minimum amount will take over a million wins to make one btc. But a bot is good for small amounts you can make a consistent profit if you bet very small I have a few other formulas written down in my notebook.
I don't remember the formula but you divide your bankroll by like 10,000 to get your starting bet from memory that gives you something like 13 losses before a bust but its very very risky your risking at least 3/5 of your bankroll for a 10,000th of your bankroll but this if good for a bot I personally wouldn't trust a bot with more then 5btc until I was comfortable with it.
So yeah with the first formula every 100-150 wins/plays you recalculate it constantly adjusting your bet to bankroll ratio. This provides optimal profit. From my stats and research this is the best I've come up with for martingale if you want to use it. If you have lost part of your bankroll your bet adjusts to a smaller starting bet if your bankroll has grown your starting bet is a fraction larger because you can care for a slightly higher max bet and your winnings will be slightly higher reflecting your bankroll.
It's stupid using the same betting ratio when your bankroll has been dramatically reduced because you are just going to lose it. The higher the risk the more you can generally win but the best advice is work slowly.
My past experiences prove this. For example on roullette at my casino they had $25 tables and $10 tables. Even though I won more in a shorter period on $25 tables I would often go bust after 3-4 hours because I was only able to lose 6 times before reaching the max bet 1k. The $10 table had the same max bet but I was able to bet one more time and lose 7-8 times I can't remember exactly. I would play much longer on the $10 tables often I could sit for 10-20 hours and walk home with a 200% profit. It's was consistent for a few weeks I did this and won every single time until they eventually closed the $10 tables and I was left to the $25 tables in which case my win/loss became very sporadic. I had racked up about 20-30k in winnings over 6 months. But also lost at least 20k of my winnings to other games like blackjack haha.
Anyway moral of the story is having that one extra loss sitting up your sleeve can make a huge difference. But you can't rely on it , it's not guaranteed often my biggest winnings came from ridiculous win streaks you get a lot of win / losing streaks at roullette you usually are able to tell for some reason the dealers often roll the ball in a specific way . You can't do much for predicting on just dice because its very fair to its odds. Like a coin that has a bit of dirt on one side of the coin it will land a few times more on one side out of 100 tosses .
Same goes for roullette a wheel is mechanical so it has its flaws usually affecting the spins by 0.5-2% you can usually work this out with the dealers method of spin. That's how you can pick a good table.
Back to just dice. You don't have any of those crazy odd changing flaws or imperfections (though I find high numbers pop up more on just dice my win/loss ratio is usually 50wins more then my loss.)
Again if anyone sends me about 0.03btc I will try the method out and post results.
0.03/ 3.9 = 0.00769 max bet
0.03/500= 0.00006 starting bet.
.00006
.00012
.00024
.00048
.00096
.00192
.00384
0.00768.
500wins is 100% profit with out any busts considering no more then 7 losses. It isn't fool proof there are chances of losing your money but you can minimise this by using a smaller bankroll , you lose less, you also win less.
Did it the other day with 2btc sadly I pressed the wrong button on the keyboard shortcuts thus losing a total of 6btc. Hit the max bet key, feels bad man I literally spent 3 hours straight hitting bets getting it up to 6btc over about 2,000 plays