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A195654
Number of ways to place 10n nonattacking kings on a 20 X 2n cylindrical chessboard.
5
11264, 48132, 251126, 1473764, 9434784, 64923594, 476033636, 3694894500, 30179587994, 257860425672, 2290966142762, 21042965606234, 198765197377402, 1921681775292272, 18940490557328616, 189679152583318596, 1924757095250611458, 19746535064318923758
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OFFSET
1,1
COMMENTS
This cylinder is horizontal: a chessboard where it is supposed that rows 1 and 2n are in contact (number of columns = 20, number of rows = 2n).
LINKS
Alex V. Breger,
Table of n, a(n) for n = 1..500
Artem M. Karavaev,
Zealint blog
(in Russian)
V. Kotesovec,
Non-attacking chess pieces
Vaclav Kotesovec,
Generating function
Index entries for linear recurrences with constant coefficients
, order 916.
FORMULA
Recurrence order is 916.
CROSSREFS
Cf.
A137432
,
A195653
,
A195649
,
A195659
.
Sequence in context:
A051520
A051346
A217125
*
A195649
A110375
A252859
Adjacent sequences:
A195651
A195652
A195653
*
A195655
A195656
A195657
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec
, Sep 22 2011
STATUS
approved
