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A264537 Number of (4+1) X (n+1) arrays of permutations of 0..n*5+4 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. 1

%I #8 Jan 08 2019 18:48:34

%S 0,19,40,166,824,3256,15028,64156,275764,1203956,5186196,22489732,

%T 97426420,421553284,1826019284,7905435556,34229151412,148217266564,

%U 641745438100,2778733096676,12031672904052,52095855239236

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

%H R. H. Hardin, <a href="/A264537/b264537.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 18*a(n-3) + 120*a(n-5) - 24*a(n-6) + 288*a(n-7) + 256*a(n-10) for n>11.

%F Empirical g.f.: x^2*(19 - 17*x + 46*x^2 - 16*x^3 + 64*x^4 - 8*x^5 - 104*x^6 + 256*x^7 - 256*x^8 + 768*x^9) / (1 - 3*x - 18*x^3 - 120*x^5 + 24*x^6 - 288*x^7 - 256*x^10). - _Colin Barker_, Jan 08 2019

%e Some solutions for n=4:

%e .12..6.14..2..9....5.13..1..8..3...12..0.14..2..3...12..6..1..2..3

%e ..0..1.19..3..4....0.11..2..7..4...10..1..6.13..4....0.11.19..7..4

%e ..5.10..7..8.13...22..6.24.12..9....5.23..7..8..9....5.16.24..8..9

%e .20.11.22.17.24...10.21.16.23.14...20.11.22.17.24...10.21.22.13.14

%e .15.16.21.18.23...15.20.17.18.19...15.16.21.18.19...15.20.17.18.23

%Y Row 4 of A264534.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 17 2015

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Last modified April 24 05:26 EDT 2024. Contains 371918 sequences. (Running on oeis4.)