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A172221 Number of ways to place 3 nonattacking zebras on a 3 X n board. 4

%I #15 Feb 20 2018 14:20:20

%S 1,20,84,200,403,720,1180,1808,2631,3676,4970,6540,8413,10616,13176,

%T 16120,19475,23268,27526,32276,37545,43360,49748,56736,64351,72620,

%U 81570,91228,101621,112776,124720,137480,151083,165556,180926,197220

%N Number of ways to place 3 nonattacking zebras on a 3 X n board.

%C Zebra is a (fairy chess) leaper [2,3].

%H Vincenzo Librandi, <a href="/A172221/b172221.txt">Table of n, a(n) for n = 1..1000</a>

%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Number of ways of placing non-attacking queens and kings on boards of various sizes</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ZebraGraph.html.html">Zebra Graph</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Zebra_(chess)">Zebra (chess)</a>

%F a(n) = (9*n^3 - 21*n^2 + 50*n - 48)/2, n>=6.

%F G.f.: x*(2*x^8-4*x^7+2*x^6-8*x^5+28*x^4-20*x^3+10*x^2+16*x+1)/(x-1)^4. - _Vaclav Kotesovec_, Mar 25 2010

%t CoefficientList[Series[(2 x^8 - 4 x^7 + 2 x^6 - 8 x^5 + 28 x^4 - 20 x^3 + 10 x^2 + 16 x + 1) / (x - 1)^4, {x, 0, 50}], x] (* _Vincenzo Librandi_, May 28 2013 *)

%Y Cf. A172138, A061989.

%K nonn,easy

%O 1,2

%A _Vaclav Kotesovec_, Jan 29 2010

%E More terms from _Vincenzo Librandi_, May 28 2013

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)