Sequences of Game
The sequence of game playing of game#1 Wanchancy is listed here where items in each entry are sequence number, starting co-ordinate (x,y), actual sequence and score. The co-ordinate (1,1) is the bottom left corner of the play board. This is a specific game of two players where odd entries are player #1 and even entries are player #2. The game can have, however, up to four players. Where the sequence is not a simple arithmetic one then the formula to derive sequence elements is included. Thus the sequence 11, 13, 16, 20, 25, (31) is created by: a(n+1)=a(n)+n where n=1, 2, 3, etc. with n(1)=11.
Number in brackets indicates the next possible entry in the sequence where the sequence is not a simple arithmetic sequence. This information can allow other players to add to the sequence in due course. In recording the game the primary sequence of digits played is displayed. Additional sequences created are only referenced in the indicated score. For some reason the sequence at (4,16) is unassigned to a player.
Scores for the games were PLAYER #1 2179 : PLAYER #2 2876 so player #2 was the winner.
Further Details of Game
Documentation for the game is available by searching ‘How to play Wanchancy’ on Amazon.
Copies of WANCHANCY game are available from Douglas Clarkson via eBay.
#1: (8,11) : 21, 23, 25, (27): score 138
#2: (4,9) : 11, 13, 16, 20, 25, (31): score 85
a(n+1)=a(n)+n: a(1)=11
#3: (7,9) : 20, 16, 12: score 96
#4: (9,9) : 31, 23, 17 ; score 71
a(n+1)= a(n) +12-2n
#5: (9,6) : 13, 15, 17, 19: score 148
#6: (3,11) : 28, 19, 10 : score 209
#7: (12,7) : 8, 19, 30 : score 65×3 = 195
#8: (12,5) : 30, 29, 28 : score 87
#9: (14,6) : 33, 28, 24 : score 85*2= 170
a(n+1) = a(n)+n-7
#10: (14,6) : 33, 28, 24, 21: score 106
a(n+1) = a(n) + n – 7
#11: (14, 3) : 21, 14, 7 : score 42
#12: (6, 7) : 18, 14, 12 : score 62
#13: (5, 7) : 18, 25, 34 : score = 77*3=231
a(n+1) = a(n) + 3+2* n
#14: (5,5) : 34, 32, 30 : score 128
#15: (16,3) : 7, 18, 27: score 133
a(n+1) = a(n) + 15 – 2n
#16: (1,11) : 20, 24, 28: score 72
#17: (1,11) : 20, 21, 22: score 63
#18: (3,6) : 15, 20, 25 : score 120
#19: (7,5) : 30, 17, 4 : score 51
#20: (3,6) : 15, 12, 9 : score 72
a(n+1)=a(n) 18-(4-n)*3
#21: (6,3) : 3, 4, 5, 6, 7: score 25
#22: (14,1) : 32, 29, 27: score 88
#23: (1,11) : 20, 21, 22 : score 85
#24: (1,12) : 19, 20, 21, 22 : score 82
#25: (7, 13) : 32, 26, 20 : score 104
#26: (1, 16) : 15, 16, 17, 18, 19, 20, 21, 22 : score 579
#27: (3,11) : 28, 19, 10, 1 : score 58
#28: (6,13) : 33, 32, 31, 30 : score 126
#29: (1,3) : 12, 9, 6 : score 27
#30: (6,16) : 21, 25, 29, 33 : score 216
#31: (13,1) : 36, 32, 29, 27, (26) :score 372
#32: (1,4) : 10, 12, 16, 24 : score 402
a(n+1)=a(n) + 2^(n-1)
#33: (3,14) : 26, 27, 28, 29: score 162
#34: (1,16) : 15, 16, 17, 18, 19, 20, 21, 22, 23: score 194
#35: (1,1) : 24, 19, 14 : score 57
#36: (9,9) : 31, 23, 17, 13, 11 : score 95
a(n+1)=a(n) – 2(6-n)
#37: (9,15) : 18, 24, 30 : score 72
#38: (8,11) : 20, 21, 22, 23 : score 86
#39: (6,3) : 3, 4, 5, 6, 7, 8 : score 33
#40: (5,3) : 2, 3, 4, 5, 6, 7, 8 : score 35
#41: pass: score 0
#42: (4,14) : 27, 20, 13 : score 60
#43: remaining 4, 22, 22, 35 = score -83
#44: remaining 5, 26, 31, 37 = score -99
