A264504 Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change -1,1 0,-1 0,1 or 1,0.

24, 432, 6613, 105324, 1697577, 26941396, 427111736, 6776356720, 107417903076, 1702319756800, 26977743060096, 427512519081664, 6774529550350608, 107351184068203136, 1701111835545749120, 26956139146163474176

Offset

1,1

Comments

Column 6 of A264506.

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..2..8..4..5..6.12....1..2..8..4..3.11.12....1..2..8..9..5.11.12
..0.14.15..3.17.13.19....0..7.10..9.17..5..6....0.14.10..3..4.18..6
..7.16..9.10.11.18.26...15.16.22.18.19.20.13....7.21.15.16.17.20.13
.22.23.24.25.31.32.20...14.23.24.25.31.32.26...22.28.24.25.31.19.26
.21.28.29.30.33.34.27...21.28.29.30.33.34.27...29.30.23.32.33.34.27

Crossrefs

Cf. A264506.

Sequence in context: A175199 A051546 A209448 * A081128 A059158 A062149

Adjacent sequences: A264501 A264502 A264503 * A264505 A264506 A264507

Keyword

nonn

Author

R. H. Hardin, Nov 15 2015

Status

approved