A264284 Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having directed index change 0,0 0,1 1,0 or -1,-2.

145, 4156, 134432, 4227024, 131452948, 4076914388, 126311779972, 3911932445892, 121136137544916, 3750881659750212, 116140758199404916, 3596108918102565732, 111347352849488575188, 3447676814806342897540, 106751270110819359767412

Offset

1,1

Comments

Column 7 of A264285.

Links

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

Formula

Empirical: a(n) = 37*a(n-1) -148*a(n-2) -648*a(n-3) -18812*a(n-4) +33720*a(n-5) +341320*a(n-6) +3490528*a(n-7) +2721200*a(n-8) -13811392*a(n-9) -95460256*a(n-10) -173488256*a(n-11) -318028224*a(n-12) -1470212608*a(n-13) +840492032*a(n-14) +14620982784*a(n-15) +49650196480*a(n-16) +50819317760*a(n-17) +88642775040*a(n-18) +235467870208*a(n-19) -222393663488*a(n-20) -1393025925120*a(n-21) -2983768571904*a(n-22) -30476926976*a(n-23) +5734697598976*a(n-24) +5710659846144*a(n-25) -2268499279872*a(n-26) -7922359730176*a(n-27) -3287065559040*a(n-28) +6731216191488*a(n-29) +5292339232768*a(n-30) -5224022409216*a(n-31) -6274678784000*a(n-32) -950261514240*a(n-33) +676457349120*a(n-34)

Example

Some solutions for n=3
..0..1..2..3.14..5..6..7....0..1.12.13..4.15..5..6....0.11..2..3.14.15..5..6
..8..9.10.11..4.12.13.15....8..9..2..3.11.23.14..7....8..1..9.10..4.12.13..7
.16.27.17.19.20.31.21.22...26.17.10.18.19.20.21.22...16.27.17.19.20.21.22.23
.24.25.18.26.28.29.30.23...16.24.25.27.28.29.30.31...24.25.18.26.28.29.30.31

Crossrefs

Cf. A264285.

Sequence in context: A269015 A234116 A232151 * A008377 A076464 A018232

Adjacent sequences: A264281 A264282 A264283 * A264285 A264286 A264287

Keyword

nonn

Author

R. H. Hardin, Nov 10 2015

Status

approved