A264109 - OEIS

%I #6 Nov 10 2015 11:26:05

%S 1936,167464,15437041,1399892079,127528266321,11613782698504,

%T 1057423575802500,96278613956842527,8766291363504861316,

%U 798181501446239189664,72675347993710995638169,6617174682296494732387825

%N Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 0,2 or 1,1.

%C Column 6 of A264110.

%H R. H. Hardin, <a href="/A264109/b264109.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 87*a(n-1) +32068*a(n-3) +180766*a(n-4) -3715198*a(n-5) -16639004*a(n-6) +149707392*a(n-7) +542256817*a(n-8) +224301365*a(n-9) +4280490864*a(n-10) -2613943512*a(n-11) +12541107972*a(n-12) -12056948868*a(n-13) +9621158616*a(n-14) -5946708960*a(n-15) -2779571151*a(n-16) +6286349025*a(n-17) -2468635920*a(n-18) -364811148*a(n-19) +148489470*a(n-20) -3874014*a(n-21) +2657124*a(n-22) +16767*a(n-24) +243*a(n-25)

%e Some solutions for n=2

%e ..0..3..4..1..2..5..6....0..9.10..3..4.13..6....0..3.10.11..6..5..4

%e .15..8..9.10.11.12.13...15..8..1..2.11.20..5....9..8..1..2.19.12.13

%e .14..7.16.19.20.17.18...14..7.18.17.16.19.12...14..7.18.15.16.17.20

%Y Cf. A264110.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 03 2015