A264309 - OEIS

%I #4 Nov 11 2015 09:54:38

%S 52,735,11206,167348,2495425,37246076,555887421,8296387518,

%T 123820898705,1847985023104,27580552397045,411630441796269,

%U 6143445459997307,91688850773162871,1368425163267133554,20423283873658284388

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

%C Column 4 of A264313.

%H R. H. Hardin, <a href="/A264309/b264309.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -15*a(n-2) -269*a(n-4) +567*a(n-5) -632*a(n-6) +622*a(n-7) -669*a(n-8) +1942*a(n-9) -5477*a(n-10) +10021*a(n-11) -10882*a(n-12) +10635*a(n-13) -9753*a(n-14) +6511*a(n-15) -4210*a(n-16) +2145*a(n-17) -946*a(n-18) +450*a(n-19) -162*a(n-20) +27*a(n-21)

%e Some solutions for n=4

%e ..0..8..2..3..4....7..0..2..1..3....0..1..9..3..4....7..1..9..3..2

%e ..5..1..6..7..9...12..6.14..8..4...12.13..2..6..8....0..5..6..8..4

%e .10.18.19.13.14....5.11.10.13..9....5.10..7.11.14...17.10.19.12.14

%e .22.11.12.16.17...22.16.24.18.17...22.23.16.17.19...15.11.24.13.18

%e .15.21.20.23.24...15.21.20.23.19...15.20.21.18.24...20.16.21.23.22

%Y Cf. A264313.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 11 2015