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A264130 Number of (n+1) X (6+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 0,2 or 1,2. 1

%I #9 Jan 05 2019 06:00:16

%S 976,53280,2920000,160564000,8830490000,485643650000,26708584500000,

%T 1468872605000000,80782519512500000,4442737533906250000,

%U 244334008340781250000,13437459939332812500000,739010221489140625000000

%N Number of (n+1) X (6+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 0,2 or 1,2.

%H R. H. Hardin, <a href="/A264130/b264130.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 60*a(n-1) - 300*a(n-2) + 1500*a(n-3) - 7500*a(n-4) + 3125*a(n-5).

%F Empirical g.f.: 16*x*(61 - 330*x + 1000*x^2 - 7250*x^3 + 3125*x^4) / ((1 - 5*x)*(1 - 55*x + 25*x^2 - 1375*x^3 + 625*x^4)). - _Colin Barker_, Jan 05 2019

%e Some solutions for n=2:

%e ..9..1..0.12..4..5..6....2.10.11.12.13..5..6....2..3..0.12.13..5..6

%e ..7.10.11..8..2..3.13....9..8..0..1.20..3..4....7.17.18..1.11.10..4

%e .16.17.14.15.20.19.18...14.17..7.15.16.19.18...16.15.14..8..9.19.20

%Y Column 6 of A264131.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 03 2015

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)