Black Jack Double Again

I'm new here so be nice. I ran across an interesting rule today: after doubling down and receiving a card, the dealer asked if I would like to Double again, which of course is very nice when you get the dreaded 2 on 9, or an Ace on a soft Double against 6.

How does this alter the strategy?

I've only heard of that in western US variants of Spanish 21. There's also a double down rescue where you forfeit your original bet and keep your double down bet as a surrender if you draw to a 12-16 against a dealer 8-Ace. I'm not sure how double double down rescue goes.

"A player can also rescue the last doubled portion of the bet after a double-double down, forfeiting the original wager. "
So you bet $10, double down with $10, double double down with $20, and double double down rescue and lose your $10 original bet + $10 double down bet to the dealer and take back your last $20 double down bet with the surrender.

All the other rules are the same, 312 cards, bj 3:2, Double any card, surrender, Double after split, stand on s17. There is no silly drawback like 'push loses'.

You get 7+2 against 6, you Double your bet (e.g. 10 becomes 10+10). You then get a card (e.g. a 2 for a total of 11). The dealer then asks if you would like to Double again. I could not believe my ears! Put another 10 down (10+10+10) and get an extra card on 11 against 6? Yes please! If you win: bank pays 3x original bet.

Same goes for A4 Double against 6: Double, get an Ace for S16, Double again for another card.

How would this influence strategy? Should I Double on 8 against 3-6 or 3-7, because if I get a 2 or 3, I can Double again? Please help

What about resplit aces?

Max number of resplit hands?

Anyway:
https://wizardofvegas.com/forum/gambling/blackjack/36959-second-double-on-three-cards-triple/

No resplit aces, haven't been in the situation of more than 3x split, so I'll have to ask. We're going back this afternoon after losing big time yesterday.

Possibly of interest:

https://wizardofvegas.com/forum/gambling/blackjack/17230-rare-bj-rules-redouble-after-double/#post337405

For others searching, redouble is different from triple down.
Best of luck!

I know the Longhorn (next to Sam's Town) used to allow this, but it's probably been a decade since I was last there. (And on that note-- have they changed the steak and lobster combo price?)

Too bad the rest of the rules made it pretty mediocre.

Shoot, DRich is right; I was mixing Longhorn and some other BJ variant that was floating around at the time at Bally's.

Quote: Venthus

I know the Longhorn (next to Sam's Town) used to allow this, but it's probably been a decade since I was last there. (And on that note-- have they changed the steak and lobster combo price?)

Too bad the rest of the rules made it pretty mediocre.
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I do not recall that at Longhorn. What I do recall is they let you double on 3 or 4 cards after taking a hit.