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A264001 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change (+-,+-) 0,0 1,2 or 1,0. 1

%I

%S 288,8679,791245,50616720,3817152613,271516496545,19822414498720,

%T 1432638894343943,103998554836408209,7536021882194791040,

%U 546503294359155508905,39618990457203020195449,2872595922013590498611120

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

%C Column 4 of A264003.

%H R. H. Hardin, <a href="/A264001/b264001.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 50*a(n-1) +2875*a(n-2) -69880*a(n-3) -2008863*a(n-4) +34481460*a(n-5) +424664817*a(n-6) -6547031494*a(n-7) -20222380899*a(n-8) +478816817092*a(n-9) -1562080962409*a(n-10) -10431531548872*a(n-11) +119910039231312*a(n-12) -60142902473088*a(n-13) -2339051645501952*a(n-14) +2569755494551552*a(n-15) +11855594552791040*a(n-16) +3737073326620672*a(n-17) +28313788756590592*a(n-18) -80667450339753984*a(n-19) +150350372894932992*a(n-20) -83981604132749312*a(n-21) -1823349379172401152*a(n-22) +1401420734823137280*a(n-23) +2239178480786866176*a(n-24) -1256030644895481856*a(n-25) -805031842280374272*a(n-26) +143810417196531712*a(n-27) +71886001504518144*a(n-28) -2226511046246400*a(n-29) -801543976648704*a(n-30)

%e Some solutions for n=2

%e ..7..1..2..3..4....0..8..2..3..4....5..8..7..6..4....0..8..7..6..4

%e ..0.13.12.11.14...10.13..7..1.12....2..1..0..3.12....2..3.10..1.12

%e .10..8..5..6..9....5.11..9..6.14...10.11..9.13.14....5.11..9.13.14

%Y Cf. A264003.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 31 2015

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Last modified October 20 22:22 EDT 2021. Contains 348119 sequences. (Running on oeis4.)