cp's OEIS Frontend

A264424 Number of (3+1) X (n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 2,2 1,0 -1,2 -2,-1 or -1,-1.

%I A264424 #6 May 27 2021 09:16:16
%S A264424 1,20,96,499,2681,15088,86469,479787,2666733,14940857,83531649,
%T A264424 466766772,2608467230,14576309209,81469725947,455319456892,
%U A264424 2544569549821,14220929241086,79476850018075,444172492025104,2482352553030166
%N A264424 Number of (3+1) X (n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 2,2 1,0 -1,2 -2,-1 or -1,-1.
%C A264424 Row 3 of A264422.
%H A264424 R. H. Hardin, <a href="/A264424/b264424.txt">Table of n, a(n) for n = 1..210</a>
%F A264424 Empirical: a(n) = 4*a(n-1) +a(n-2) +50*a(n-3) -47*a(n-4) +214*a(n-5) -752*a(n-6) -111*a(n-7) -426*a(n-8) +2579*a(n-9) +1278*a(n-10) -4700*a(n-11) +19726*a(n-12) -3406*a(n-13) -3587*a(n-14) -55733*a(n-15) -17896*a(n-16) -7934*a(n-17) -4722*a(n-18) -5228*a(n-19) +15420*a(n-20) +47468*a(n-21) +9368*a(n-22) +6264*a(n-23) +6632*a(n-24) +6960*a(n-25) -4912*a(n-26) -13680*a(n-27) +1056*a(n-28) -1184*a(n-29) -1440*a(n-30) -128*a(n-32) +384*a(n-33).
%e A264424 Some solutions for n=4
%e A264424 .11..0..8..2..3....6..0..8..2..3....6..0..1..9..3...11..7..1..9..3
%e A264424 .16..1.13.14..4...11.12.18.19..4...11.12.18.19..4....0.12.13.19..4
%e A264424 ..5.17..7.19..9...16.17..7..1..9....5.17..7..8..2....5.17.18..8..2
%e A264424 .10.15.12..6.18...10.15..5.13.14...10.15.16.13.14...10.15.16..6.14
%Y A264424 Cf. A264422.
%K A264424 nonn
%O A264424 1,2
%A A264424 _R. H. Hardin_, Nov 12 2015