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A264671 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,-2 -2,-2 or 0,1.

%I A264671 #4 Nov 20 2015 19:48:23
%S A264671 1,10,34,145,603,2417,9976,40825,166985,684253,2801318,11470702,
%T A264671 46972259,192337615,787587465,3225016272,13205769817,54075000313,
%U A264671 221426203265,906695582830,3712735776142,15202904012125,62252826121583
%N A264671 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,-2 -2,-2 or 0,1.
%C A264671 Column 3 of A264676.
%H A264671 R. H. Hardin, <a href="/A264671/b264671.txt">Table of n, a(n) for n = 1..210</a>
%F A264671 Empirical: a(n) = 2*a(n-1) +6*a(n-2) +10*a(n-3) +6*a(n-5) +11*a(n-6) +4*a(n-7) +22*a(n-8) +21*a(n-9) -4*a(n-10) -10*a(n-11) -10*a(n-12) -2*a(n-13) +a(n-15)
%e A264671 Some solutions for n=4
%e A264671 ..6..7..1..2....6..0..1..2....5..0..1..2....5..0..1..2....6..0..1..2
%e A264671 ..0..4..5..3...10..4..5..3...10..4.11..3....9..4.11..3...14.10..5..3
%e A264671 .13..8.15.10...13.14.15..7...13.15..6..7...13.15..6..7....4.15..9..7
%e A264671 .17..9.19.11....8..9.19.11....8..9.19.14....8.19.10.14....8.19.13.11
%e A264671 .12.16.14.18...12.16.17.18...12.16.17.18...12.16.17.18...12.16.17.18
%Y A264671 Cf. A264676.
%K A264671 nonn
%O A264671 1,2
%A A264671 _R. H. Hardin_, Nov 20 2015