A264108 - OEIS

A264108

Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 0,2 or 1,1.

%I #6 Nov 10 2015 11:25:44

%S 512,21025,911754,39087504,1680100825,72203451849,3103083479700,

%T 133360207252561,5731386289974585,246316246944235776,

%U 10585867260296108090,454945975615318339161,19552091085050956659200

%N Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 0,2 or 1,1.

%C Column 5 of A264110.

%H R. H. Hardin, <a href="/A264108/b264108.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 43*a(n-1) -a(n-2) +1848*a(n-4) -79464*a(n-5) +1848*a(n-6) -1848*a(n-8) +79464*a(n-9) -1848*a(n-10) +a(n-12) -43*a(n-13) +a(n-14)

%e Some solutions for n=2

%e ..2..3..0..1..4..5....7..1..9..5..4..3....0..1..9..5.11..3....2..1..0.10..4..5

%e .13..7..6..9..8.11...13..0.10..2.17.11....8..7.10..2.17..4....6..7.15..9..3.11

%e .12.15.16.17.14.10...12..6.16..8.14.15...12..6.14.13.16.15...14.13.12..8.16.17

%Y Cf. A264110.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 03 2015