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A189439 Number of 7Xn array permutations with each element not moving, or moving one space N, SW or SE 1

%I #5 Mar 31 2012 12:36:15

%S 1,85,1245,26589,493941,9557077,181540773,3467525301,66045131269,

%T 1258981901653,23988387057381,457127606313333,8710469146675973,

%U 165979359956189589,3162723963901817637,60265641669988070325

%N Number of 7Xn array permutations with each element not moving, or moving one space N, SW or SE

%C Row 7 of A189435

%H R. H. Hardin, <a href="/A189439/b189439.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 23*a(n-1) +26*a(n-2) -2256*a(n-3) +3272*a(n-4) +63936*a(n-5) -101752*a(n-6) -714624*a(n-7) +1041216*a(n-8) +3522752*a(n-9) -4444032*a(n-10) -7691264*a(n-11) +5545472*a(n-12) +11157504*a(n-13) -4947968*a(n-14) -4030464*a(n-15)

%e Some solutions for 7X3

%e ..0..1..2....3..1..2....3..1..2....0..1..2....0..1..2....3..4..2....0..1..2

%e ..3..7..8....6..0..5....6..0..5....3..4..5....3..4..5....1..0..5....6..7..5

%e ..6..5..4....9..7..4....4.10.11....6..7..8....6..7.11....6.10.11....4..3..8

%e ..9.13.14...12..8.14....9..8..7...12.13.11...12..8.14....7..8.14....9.13.14

%e .12.11.10...15.11.10...12.13.17...10..9.14...15..9.10...12..9.17...12.11.10

%e .15.19.20...13.19.20...15.14.20...15.19.20...18.19.13...18.19.13...18.19.17

%e .18.17.16...18.17.16...18.19.16...18.17.16...16.17.20...16.15.20...16.15.20

%K nonn

%O 1,2

%A _R. H. Hardin_ Apr 22 2011

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)