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%I #4 Nov 10 2015 14:55:35
%S 145,4156,134432,4227024,131452948,4076914388,126311779972,
%T 3911932445892,121136137544916,3750881659750212,116140758199404916,
%U 3596108918102565732,111347352849488575188,3447676814806342897540,106751270110819359767412
%N Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having directed index change 0,0 0,1 1,0 or -1,-2.
%C Column 7 of A264285.
%H R. H. Hardin, <a href="/A264284/b264284.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 37*a(n-1) -148*a(n-2) -648*a(n-3) -18812*a(n-4) +33720*a(n-5) +341320*a(n-6) +3490528*a(n-7) +2721200*a(n-8) -13811392*a(n-9) -95460256*a(n-10) -173488256*a(n-11) -318028224*a(n-12) -1470212608*a(n-13) +840492032*a(n-14) +14620982784*a(n-15) +49650196480*a(n-16) +50819317760*a(n-17) +88642775040*a(n-18) +235467870208*a(n-19) -222393663488*a(n-20) -1393025925120*a(n-21) -2983768571904*a(n-22) -30476926976*a(n-23) +5734697598976*a(n-24) +5710659846144*a(n-25) -2268499279872*a(n-26) -7922359730176*a(n-27) -3287065559040*a(n-28) +6731216191488*a(n-29) +5292339232768*a(n-30) -5224022409216*a(n-31) -6274678784000*a(n-32) -950261514240*a(n-33) +676457349120*a(n-34)
%e Some solutions for n=3
%e ..0..1..2..3.14..5..6..7....0..1.12.13..4.15..5..6....0.11..2..3.14.15..5..6
%e ..8..9.10.11..4.12.13.15....8..9..2..3.11.23.14..7....8..1..9.10..4.12.13..7
%e .16.27.17.19.20.31.21.22...26.17.10.18.19.20.21.22...16.27.17.19.20.21.22.23
%e .24.25.18.26.28.29.30.23...16.24.25.27.28.29.30.31...24.25.18.26.28.29.30.31
%Y Cf. A264285.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 10 2015
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