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Number of permutations of 5 copies of 1..n with all adjacent differences <= 1 in absolute value.
2

%I #18 May 16 2020 01:33:39

%S 1,1,252,7002,284002,8956752,276285002,8039989002,226901044252,

%T 6232521421502,167765555015002,4441865811412752,116042171156004002,

%U 2998175631045512002,76751828260736962252,1949598912568702682502,49197330547669842130002,1234523426440511782592752

%N Number of permutations of 5 copies of 1..n with all adjacent differences <= 1 in absolute value.

%C a(n) = (5n)!/120^n = A014609(n) for n<=2.

%H Andrew Howroyd, <a href="/A177301/b177301.txt">Table of n, a(n) for n = 0..200</a>

%Y Cf. A014609.

%Y Column k=5 of A331562.

%K nonn

%O 0,3

%A _R. H. Hardin_, May 06 2010

%E a(10) from _Alois P. Heinz_, Jan 21 2020

%E Terms a(11) and beyond from _Andrew Howroyd_, May 15 2020