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A212271 Number of ways to place k non-attacking ferses on an n x n cylindrical chessboard, summed over all k >= 0. 4

%I #19 May 17 2021 15:51:38

%S 2,9,80,1600,79033,8156736,2055960192,1108756350625,1411080429618656,

%T 3943472747846953216,25425527581172360096017,

%U 365481944233773616212640000,11980566143208960475692367828480,882106482533191605447029340350009049,147314997388032765439791110273770608260928

%N Number of ways to place k non-attacking ferses on an n x n cylindrical chessboard, summed over all k >= 0.

%C Fers is a leaper [1,1].

%H Vaclav Kotesovec, <a href="/A212271/b212271.txt">Table of n, a(n) for n = 1..18</a>

%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, 2013, p.443

%F Limit n ->infinity (a(n))^(1/n^2) is the hard square entropy constant A085850.

%Y Cf. A067965, A067960, A182407, A212269, A212270.

%K nonn,hard

%O 1,1

%A _Vaclav Kotesovec_, May 12 2012

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Last modified April 16 12:05 EDT 2024. Contains 371711 sequences. (Running on oeis4.)