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A264578 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 1,0 0,-1 1,2 or -1,1. 1

%I

%S 0,4,4,6,25,68,112,281,856,1674,3988,10508,23724,55897,136144,325584,

%T 765361,1829400,4401652,10407276,24816024,59395330,141247593,

%U 336608388,803177056,1914674361,4562063424,10876904302,25937972164,61813285608

%N Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 1,0 0,-1 1,2 or -1,1.

%C Column 3 of A264583.

%H R. H. Hardin, <a href="/A264578/b264578.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +10*a(n-3) +4*a(n-4) -4*a(n-5) -33*a(n-6) +4*a(n-7) +25*a(n-9) -8*a(n-10) +4*a(n-11) -10*a(n-12) -2*a(n-14) +a(n-15)

%e Some solutions for n=4

%e ..1..2..5..6....1..2..3..6....1..2..3..6....1..2..5..6....1..2..5..6

%e ..0..8..7..3....0..8..7.10....0..8..7.10....0..8..7..3....0..8..7..3

%e ..9.12..4.14....4..5.11.14....9..5..4.14....4.12.11.14....4.10.11.14

%e .13.16.10.11...13.16.17..9...13.16.17.11...13.16.10..9...13.16.17..9

%e .17.18.19.15...12.18.19.15...12.18.19.15...17.18.19.15...12.18.19.15

%Y Cf. A264583.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 18 2015

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Last modified January 20 03:25 EST 2022. Contains 350467 sequences. (Running on oeis4.)