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.

288, 8679, 791245, 50616720, 3817152613, 271516496545, 19822414498720, 1432638894343943, 103998554836408209, 7536021882194791040, 546503294359155508905, 39618990457203020195449, 2872595922013590498611120

Offset

1,1

Comments

Column 4 of A264003.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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)

Example

Some solutions for n=2
..7..1..2..3..4....0..8..2..3..4....5..8..7..6..4....0..8..7..6..4
..0.13.12.11.14...10.13..7..1.12....2..1..0..3.12....2..3.10..1.12
.10..8..5..6..9....5.11..9..6.14...10.11..9.13.14....5.11..9.13.14

Crossrefs

Cf. A264003.

Sequence in context: A299860 A264204 A202165 * A168555 A163731 A223293

Adjacent sequences: A263998 A263999 A264000 * A264002 A264003 A264004

Keyword

nonn

Author

R. H. Hardin, Oct 31 2015

Status

approved