A264334 Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change -1,1 1,0 1,-1 or 0,-1.

3, 32, 464, 8976, 144289, 2464988, 40119900, 640302232, 10206221300, 162325629616, 2575307515552, 40830126679424, 647241175439504, 10257936877585024, 162558527752875712, 2576019713075537792

Offset

1,1

Comments

Column 6 of A264336.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +40*a(n-2) +808*a(n-3) -4368*a(n-4) -35344*a(n-5) -281600*a(n-6) +105760*a(n-7) +6658768*a(n-8) +43453632*a(n-9) +53102720*a(n-10) -528449280*a(n-11) -3531571968*a(n-12) -5812271104*a(n-13) +23258690560*a(n-14) +161625722880*a(n-15) +282946011136*a(n-16) -625458413568*a(n-17) -4544958496768*a(n-18) -7745215135744*a(n-19) +11329480949760*a(n-20) +82201077088256*a(n-21) +127143849754624*a(n-22) -148099532062720*a(n-23) -969471560777728*a(n-24) -1269996059623424*a(n-25) +1403002606845952*a(n-26) +7338965237497856*a(n-27) +7488773696782336*a(n-28) -9000052429160448*a(n-29) -33687936763428864*a(n-30) -23415199625117696*a(n-31) +33917734693634048*a(n-32) +81627743246090240*a(n-33) +28147497671065600*a(n-34) -54043195528445952*a(n-35) -72057594037927936*a(n-36) for n>38

Example

Some solutions for n=4
..1..7..8..4..5..6.12....1..2..8..9..5.11.12....1..2..8..4..5.11.12
..0.14..2..3.17.18.19....0.14..3.16..4.18..6....0.14.10..3.17..6.19
.15.21..9.10.11.13.26....7.21.22.10.19.20.13....7.21..9.23.24.25.13
.22.28.16.30.31.20.33...15.28.24.17.31.32.33...15.28.16.30.18.20.33
.29.23.24.32.25.34.27...29.30.23.25.26.34.27...29.22.31.32.26.34.27

Crossrefs

Cf. A264336.

Sequence in context: A231591 A123336 A058479 * A278069 A370462 A295385

Adjacent sequences: A264331 A264332 A264333 * A264335 A264336 A264337

Keyword

nonn

Author

R. H. Hardin, Nov 11 2015

Status

approved