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Number of closed paths of length 11n whose steps are 11th roots of unity.
1

%I #17 Feb 06 2024 08:12:42

%S 1,39916800,548828480360160000,23934366266775567482880000000,

%T 1746930746117010628955362040959500000000,

%U 170878335353097656943918169452451079403744627916800,20193738534370392855946567010492898163504440783192016158720000

%N Number of closed paths of length 11n whose steps are 11th roots of unity.

%C Equivalently, the number of paths of length 11n in Z^11 from {0}^11 to {n}^11. - _Andrew Howroyd_, Nov 01 2018

%H Andrew Howroyd, <a href="/A198809/b198809.txt">Table of n, a(n) for n = 0..50</a>

%H Gilbert Labelle and Annie Lacasse, <a href="https://doi.org/10.46298/dmtcs.2937">Closed paths whose steps are roots of unity</a>, in FPSAC 2011, Reykjavik, Iceland DMTCS proc. AO, 2011, 599-610.

%F a(n) = (11*n)!/(n!)^11. - _Andrew Howroyd_, Nov 01 2018

%o (PARI) a(n) = (11*n)!/(n!)^11; \\ _Andrew Howroyd_, Nov 01 2018

%Y Row n=11 of A187783, column k=11 of A089759.

%K nonn

%O 0,2

%A _Simon Plouffe_, Oct 30 2011

%E Sequence redefined and a(2)-a(6) from _Andrew Howroyd_, Nov 01 2018