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A264020 Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having index change +-(.,.) 0,0 1,2 or 2,2. 1

%I #6 Nov 10 2015 10:53:30

%S 1,89,7921,269225,9150625,398967250,17394972100,744568640640,

%T 31870270181376,1369690710968448,58865288340403204,

%U 2529832159410757762,108723679696921023361,4672588420041689987741,200812579228092423992521

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

%C Row 5 of A264017.

%H R. H. Hardin, <a href="/A264020/b264020.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) for n>18

%e Some solutions for n=3

%e ..0..1..2..3...10.11..2..3....0..1..2..3....6..1..2..3....6..1..2..3

%e ..4.15..6..7....4.15..6..7...10..5..6..7....4.11..0..7...10..5..0..7

%e .14..9.10.11....8.19..0..1...18.19..4.11...18.15.10..5...18.15..4.11

%e .18.19..8..5...12.23.14..5...12.13.14.15...12.13.14..9...12.13.14..9

%e .22.23.12.13...22.17.18..9...16.23..8..9...22.23..8.19...22.23..8.19

%e .20.21.16.17...20.21.16.13...20.21.22.17...20.21.16.17...20.21.16.17

%Y Cf. A264017.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 01 2015

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Last modified April 24 17:51 EDT 2024. Contains 371962 sequences. (Running on oeis4.)