

A100670


Number of twocard Baccarat hands of point n.


0




OFFSET

0,1


COMMENTS

Baccarat is a family of gambling card games (including Chemindefer) usually played with three to six decks of standard playing cards. The value or point of a hand consists of the last digit of the sum of the individual card values, which are 0 for each face card or ten, 1 for each ace and the number shown for each other card; i.e., the point is the sum modulo 10. The object of the game is to come closer to the number 9 than the opponent(s) but by drawing only up to one additional card. A Table of Play determines when a player must receive a third card, must not receive a third card, or has the option  based upon the player's twocard hand's point; therefore there's little room for strategy. Finally, a twocard hand with point of 8 or 9 is called a natural and wins immediately except that a natural 9 beats a natural 8 and there can be ties. The sequence is different for a casual game played with a single deck of cards: 190,128,124,128,124,128,124,128,124,128 (although the terms are identical for odd points).


REFERENCES

P. Arnold, The Book of Card Games, Barnes and Noble, Inc., 1988, pp. 712.
A. H. Morehead and G. MottSmith, editors, Hoyle's Rules of Games, The New American Library, Inc., New York, 1963, pp. 178180.


LINKS

Table of n, a(n) for n=0..9.


EXAMPLE

a(2) = 132 because  taking into account that there are three types of face cards, four suits and both cards may be identical (by coming from different original decks)  there are 132 distinct twocard hands where the point of the pair is 2: 0+2 (64 combinations), 1+1 (10), 3+9 (16), 4+8 (16), 5+7 (16) and 6+6 (10).


CROSSREFS

Sequence in context: A125549 A104876 A050516 * A220441 A025392 A025383
Adjacent sequences: A100667 A100668 A100669 * A100671 A100672 A100673


KEYWORD

fini,full,nonn


AUTHOR

Rick L. Shepherd, Dec 05 2004


STATUS

approved



