|
|
A090051
|
|
Number of chess diagrams that can be obtained in exactly one way in n plies. This is also the number of dual-free proof games in n plies.
|
|
5
|
|
|
1, 20, 400, 1862, 9373, 51323, 298821, 1965313, 11759158, 66434263, 365037821, 1895313862
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Chess diagrams are chess positions without regard to whether castling or en passant capturing is possible. They are counted in A019319. A proof game is a classic type of chess problem.
|
|
LINKS
|
Table of n, a(n) for n=0..11.
F. Labelle, Statistics on chess positions
Index entries for sequences related to number of chess games
|
|
CROSSREFS
|
Cf. A019319, A089957, A209080.
Sequence in context: A208017 A208559 A209080 * A089957 A267718 A207402
Adjacent sequences: A090048 A090049 A090050 * A090052 A090053 A090054
|
|
KEYWORD
|
nonn,hard,more,nice,fini
|
|
AUTHOR
|
François Labelle, Jan 19 2004
|
|
EXTENSIONS
|
a(9)-a(10) from Arkadiusz Wesolowski, Jan 04 2012
a(11) from François Labelle, Jan 16 2017
|
|
STATUS
|
approved
|
|
|
|