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Number of permutations of n distinct letters (ABCD...) each of which appears thrice with 4 fixed points.
0

%I #5 Oct 06 2016 12:32:28

%S 9,324,69039,30573900,24571261710,32346221908896,64986793207684866,

%T 189028409383462290696,764111162168487304691175,

%U 4154377697330090433618612780,29576798800687086868033152117849

%N Number of permutations of n distinct letters (ABCD...) each of which appears thrice with 4 fixed points.

%e 1

%e 0, 0, 0, 1

%e 1, 0, 9, 0, "9", 0, 1

%e 56, 216, 378, 435, "324", 189, 54", 27, 0, 1

%e 13833, 49464, 84510, 90944, "69039", 38448, 16476, 5184, 1431, 216, 54, 0, 1

%e 6699824, 23123880, 38358540, 40563765, "30573900", 17399178, 7723640, 2729295, 776520, 180100, 33372, 5355, 540, 90, 0, 1

%e etc...

%Y Cf. A059058, A027468, A059073, A000459, A124007, A124008, A124009, A124042, A124043.

%K nonn

%O 0,1

%A _Zerinvary Lajos_, Nov 05 2006