cp's OEIS Frontend

A264624 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change -2,0 -1,0 0,-1 or 1,1.

%I A264624 #4 Nov 19 2015 06:52:14
%S A264624 0,9,40,108,660,4032,19521,89469,449550,2308554,11454129,56190429,
%T A264624 279105021,1393420077,6924459960,34329680172,170475275106,
%U A264624 847412314182,4209930190557,20905557159789,103832641922175,515806878937563
%N A264624 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change -2,0 -1,0 0,-1 or 1,1.
%C A264624 Column 4 of A264628.
%H A264624 R. H. Hardin, <a href="/A264624/b264624.txt">Table of n, a(n) for n = 1..210</a>
%F A264624 Empirical: a(n) = 3*a(n-1) +36*a(n-3) +108*a(n-4) -36*a(n-5) -351*a(n-6) -1863*a(n-7) -4698*a(n-8) -4050*a(n-9) -243*a(n-10) +729*a(n-11) for n>12
%e A264624 Some solutions for n=4
%e A264624 ..5..2..3..4.14....5..2..3..4.14....5.11..3..4..9....5..2..3..4.14
%e A264624 ..6..0..1..9.19....6..0..1..9.19....6..0..1..2.14....6..0..1..9.19
%e A264624 .15.16.17..7..8...11.16.13..7..8...20.12.17..7..8...15.12.13..7..8
%e A264624 .20.10.11.12.13...20.10.22.12.24...16.10.22.19.13...20.10.11.23.24
%e A264624 .21.22.23.24.18...21.15.23.17.18...21.15.23.24.18...21.22.16.17.18
%Y A264624 Cf. A264628.
%K A264624 nonn
%O A264624 1,2
%A A264624 _R. H. Hardin_, Nov 19 2015