cp's OEIS Frontend

A264493 Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0.

%I A264493 #6 Nov 14 2015 16:49:39
%S A264493 25,214,2144,21466,217049,2186741,22085009,222909614,2250209521,
%T A264493 22715274695,229303673852,2314753967333,23366787607444,
%U A264493 235881036497193,2381151813460341,24037049548970144,242647163940788960
%N A264493 Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0.
%C A264493 Row 5 of A264490.
%H A264493 R. H. Hardin, <a href="/A264493/b264493.txt">Table of n, a(n) for n = 1..210</a>
%F A264493 Empirical: a(n) = 9*a(n-1) +21*a(n-2) -80*a(n-3) -182*a(n-4) -513*a(n-5) +3147*a(n-6) -4670*a(n-7) +1792*a(n-8) +11993*a(n-9) -146379*a(n-10) +645596*a(n-11) -974550*a(n-12) +1347007*a(n-13) -1796051*a(n-14) +2021604*a(n-15) -1643602*a(n-16) +6416137*a(n-17) -8186591*a(n-18) +2810654*a(n-19) -5561728*a(n-20) +19323239*a(n-21) +3115427*a(n-22) +6590912*a(n-23) -60221446*a(n-24) -58598523*a(n-25) -1723783*a(n-26) +55826390*a(n-27) +20203727*a(n-28) -1150476*a(n-29) -852256*a(n-30) -1208160*a(n-31) -4333696*a(n-32) +5792064*a(n-33) +8416768*a(n-34) +2727936*a(n-35) -1180672*a(n-36) -1169408*a(n-37) -414720*a(n-38) -102400*a(n-39)
%e A264493 Some solutions for n=4
%e A264493 ..5..2..7..4..9....5..6..7..8..9....5..2..7..4..9....5..6..3..4..9
%e A264493 .10..1.12.13.14...10..1..2.13..4...10.11.12..3.14....0..1..2.13.14
%e A264493 .15..0.17..8..3...11..0.17.18..3...15..0..1..8.19...15.16..7.18.19
%e A264493 ..6.11.22.19.24...16.21.22.23.14...20.21..6.13.24...20.21.12.23..8
%e A264493 .25.26.27.28.29...25.26.27.12.29...25.22.17.28.29...25.10.11.28.29
%e A264493 .20.21.16.23.18...20.15.28.19.24...26.27.16.23.18...26.27.22.17.24
%Y A264493 Cf. A264490.
%K A264493 nonn
%O A264493 1,1
%A A264493 _R. H. Hardin_, Nov 14 2015