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A264275 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,0 or 1,2. 1

%I

%S 64,1800,50625,1143000,25806400,600090240,13954224384,323177889984,

%T 7484754845584,173362944655124,4015456912022689,93006360976711231,

%U 2154221392895732449,49896286681978765567,1155702674228671452961

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

%C Row 4 of A264272.

%H R. H. Hardin, <a href="/A264275/b264275.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) -467*a(n-3) +625*a(n-4) -5260*a(n-5) -15671*a(n-6) +466107*a(n-7) -420812*a(n-8) +879839*a(n-9) -157761*a(n-10) -732744*a(n-11) +1973397*a(n-12) -2238123*a(n-13) +1652184*a(n-14) -1326213*a(n-15) -1823409*a(n-16) +641268*a(n-17) -3529953*a(n-18) -222939*a(n-19) -250668*a(n-20) -21735*a(n-21) +9153*a(n-22) +2916*a(n-24) +243*a(n-25) for n>27

%e Some solutions for n=3

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

%e ..0..1.10.11....4..1.10.11....8.11..6..1....0..9.10..7....0..5.10..1

%e ..8..5..6.15....8.13..6..7....4.13.14..7...14.15..6..5....8.13..6.11

%e .12.17.14..9...12..9.14.15...12..9.10.19...12.17..8.11...16..9.14.19

%e .16.13.18.19...16.17.18.19...16.17.18.15...16.13.18.19...12.17.18.15

%Y Cf. A264272.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 10 2015

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Last modified May 26 05:25 EDT 2019. Contains 323579 sequences. (Running on oeis4.)