A264204 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 0,2 or 1,0.

288, 7328, 223245, 6444000, 189087285, 5520382336, 161423594928, 4717876917930, 137910095370105, 4031095446144000, 117830405147249257, 3444207449093089718, 100675084518513430992, 2942757343527455652352, 86017533272124601255749

Offset

1,1

Comments

Column 4 of A264207.

Links

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

Formula

Empirical: a(n) = 18*a(n-1) +423*a(n-2) -1602*a(n-3) -36822*a(n-4) +43134*a(n-5) +1104234*a(n-6) -1104336*a(n-7) -14587215*a(n-8) +17848380*a(n-9) +88345137*a(n-10) -120161976*a(n-11) -266182229*a(n-12) +363694632*a(n-13) +434017923*a(n-14) -518991428*a(n-15) -434017923*a(n-16) +363694632*a(n-17) +266182229*a(n-18) -120161976*a(n-19) -88345137*a(n-20) +17848380*a(n-21) +14587215*a(n-22) -1104336*a(n-23) -1104234*a(n-24) +43134*a(n-25) +36822*a(n-26) -1602*a(n-27) -423*a(n-28) +18*a(n-29) +a(n-30)

Example

Some solutions for n=2
..2..1..4..3..9....0..3..4..1..2....0..1..7..8..2....2..1..0..3..9
..0..6.12..8..7....7..8..5..6.14...10..6..9..3..4...10..8..7..6..4
..5.11.10.13.14...12.13.10.11..9....5.13.12.11.14....5.11.12.13.14

Crossrefs

Cf. A264207.

Sequence in context: A290028 A330817 A299860 * A202165 A264001 A168555

Adjacent sequences: A264201 A264202 A264203 * A264205 A264206 A264207

Keyword

nonn

Author

R. H. Hardin, Nov 08 2015

Status

approved