A264287 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,0 0,1 1,0 or -1,-2.

1, 26, 132, 675, 4189, 23852, 134432, 768664, 4381032, 24926476, 141860756, 807487003, 4595740788, 26154580810, 148850346356, 847132073037, 4821138523341, 27437703642929, 156151443585980, 888677485184057

Offset

1,2

Comments

Row 3 of A264285.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +49*a(n-3) +28*a(n-4) +151*a(n-5) -422*a(n-6) -440*a(n-7) -4951*a(n-8) -5034*a(n-9) -21236*a(n-10) -10830*a(n-11) -35531*a(n-12) +70252*a(n-13) +98222*a(n-14) +598559*a(n-15) +862584*a(n-16) +2273649*a(n-17) +3303360*a(n-18) +5397292*a(n-19) +8239675*a(n-20) +8783560*a(n-21) +15078516*a(n-22) +9441060*a(n-23) +18503539*a(n-24) +7507100*a(n-25) +13363728*a(n-26) +2382501*a(n-27) -2382501*a(n-29) -13363728*a(n-30) -7507100*a(n-31) -18503539*a(n-32) -9441060*a(n-33) -15078516*a(n-34) -8783560*a(n-35) -8239675*a(n-36) -5397292*a(n-37) -3303360*a(n-38) -2273649*a(n-39) -862584*a(n-40) -598559*a(n-41) -98222*a(n-42) -70252*a(n-43) +35531*a(n-44) +10830*a(n-45) +21236*a(n-46) +5034*a(n-47) +4951*a(n-48) +440*a(n-49) +422*a(n-50) -151*a(n-51) -28*a(n-52) -49*a(n-53) -4*a(n-55) +a(n-56)

Example

Some solutions for n=4
..0..8..2..3..4....0..1..9..2..3....7..0..9..2..4....7..0..1..2..3
.12..1..6..7..9....5..6.14..7..4...12..1..6..3..8....5..6.14..8..4
..5.10.19.13.14...17.11.12..8.13....5.11.19.13.14...10.18.11.13..9
.15.11.16.17.18...10.15.16.18.19...10.15.16.17.18...15.16.12.17.19

Crossrefs

Cf. A264285.

Sequence in context: A287992 A042316 A042318 * A166801 A255019 A223418

Adjacent sequences: A264284 A264285 A264286 * A264288 A264289 A264290

Keyword

nonn

Author

R. H. Hardin, Nov 10 2015

Status

approved