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A264124 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-2 or 2,-1. 1

%I #6 Nov 10 2015 11:01:57

%S 8,200,5733,108045,1995525,39592980,791859600,15730470000,

%T 311564912400,6168985265520,122179379691600,2420106837104880,

%U 47937671793562320,949542664230745200,18808314998504608080,372550422991797293040

%N Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-2 or 2,-1.

%C Column 4 of A264128.

%H R. H. Hardin, <a href="/A264124/b264124.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 19*a(n-1) +16*a(n-2) -304*a(n-3) +5776*a(n-4) +4864*a(n-5) +4096*a(n-6) -77824*a(n-7) -65536*a(n-8) for n>11

%e Some solutions for n=4

%e ..0..1..5..6..7....0..1..5.12..4....0.10..5..6.13....0..1..2..6..7

%e ..2..3..4.17.18....2..3..7..8.18....2.15..7.11..9....5..3..4.17..9

%e .10.20.12.13.23...10.20.15.22.14....1.20..3..4.23...10.20.21.16.14

%e .15.16..8..9.19....6.16.17..9.19...12.16..8.18.19...15.13..8.18.22

%e .11.21.22.14.24...11.21.13.23.24...17.21.22.14.24...11.12.19.23.24

%Y Cf. A264128.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 03 2015

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Last modified April 19 11:31 EDT 2024. Contains 371792 sequences. (Running on oeis4.)