A264493 Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0.

25, 214, 2144, 21466, 217049, 2186741, 22085009, 222909614, 2250209521, 22715274695, 229303673852, 2314753967333, 23366787607444, 235881036497193, 2381151813460341, 24037049548970144, 242647163940788960

Offset

1,1

Comments

Row 5 of A264490.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +21*a(n-2) -80*a(n-3) -182*a(n-4) -513*a(n-5) +3147*a(n-6) -4670*a(n-7) +1792*a(n-8) +11993*a(n-9) -146379*a(n-10) +645596*a(n-11) -974550*a(n-12) +1347007*a(n-13) -1796051*a(n-14) +2021604*a(n-15) -1643602*a(n-16) +6416137*a(n-17) -8186591*a(n-18) +2810654*a(n-19) -5561728*a(n-20) +19323239*a(n-21) +3115427*a(n-22) +6590912*a(n-23) -60221446*a(n-24) -58598523*a(n-25) -1723783*a(n-26) +55826390*a(n-27) +20203727*a(n-28) -1150476*a(n-29) -852256*a(n-30) -1208160*a(n-31) -4333696*a(n-32) +5792064*a(n-33) +8416768*a(n-34) +2727936*a(n-35) -1180672*a(n-36) -1169408*a(n-37) -414720*a(n-38) -102400*a(n-39)

Example

Some solutions for n=4
..5..2..7..4..9....5..6..7..8..9....5..2..7..4..9....5..6..3..4..9
.10..1.12.13.14...10..1..2.13..4...10.11.12..3.14....0..1..2.13.14
.15..0.17..8..3...11..0.17.18..3...15..0..1..8.19...15.16..7.18.19
..6.11.22.19.24...16.21.22.23.14...20.21..6.13.24...20.21.12.23..8
.25.26.27.28.29...25.26.27.12.29...25.22.17.28.29...25.10.11.28.29
.20.21.16.23.18...20.15.28.19.24...26.27.16.23.18...26.27.22.17.24

Crossrefs

Cf. A264490.

Sequence in context: A126520 A324794 A348201 * A224419 A372950 A297864

Adjacent sequences: A264490 A264491 A264492 * A264494 A264495 A264496

Keyword

nonn

Author

R. H. Hardin, Nov 14 2015

Status

approved