|
%I #4 Nov 11 2015 13:13:51
%S 1,4,11,40,133,464,1573,5373,18376,62754,214317,732135,2500884,
%T 8542281,29179002,99670233,340453584,1162924217,3972328112,
%U 13568709449,46348108164,158316261005,540777999819,1847193977280,6309660580860
%N Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change -1,1 1,0 1,-1 or 0,-1.
%C Column 3 of A264336.
%H R. H. Hardin, <a href="/A264331/b264331.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-2) +17*a(n-3) +22*a(n-4) +5*a(n-5) -29*a(n-6) -44*a(n-7) -25*a(n-8) +11*a(n-9) +20*a(n-10) +11*a(n-11) -a(n-12) -2*a(n-13) -a(n-14)
%e Some solutions for n=4
%e ..1..4..5..6....1..2..5..6....1..4..3..6....1..4..3..6....1..4..3..6
%e ..0..2..7..3....0..8..9..3....0..2..9.10....0..8..2.10....0..2..7.10
%e ..9.12.13.14....4.10..7.14....5.12..7.14....5.12.13..7....9..5.11.14
%e ..8.16.10.11...13.16.17.11....8.16.11.18....9.16.11.18....8.16.17.18
%e .17.18.19.15...12.18.19.15...17.13.19.15...17.14.19.15...12.13.19.15
%Y Cf. A264336.
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 11 2015
| 