A264282 Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,0 0,1 1,0 or -1,-2.

33, 360, 4189, 47492, 537057, 6080234, 68815948, 778858184, 8815152033, 99770013733, 1129198689933, 12780289656956, 144647529389761, 1637123130312800, 18528986663178389, 209711377463378556

Offset

1,1

Comments

Column 5 of A264285.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -21*a(n-2) +41*a(n-3) -240*a(n-4) +363*a(n-5) -713*a(n-6) +1511*a(n-7) -1901*a(n-8) +3908*a(n-9) -2154*a(n-10) -2194*a(n-11) +13330*a(n-12) -23182*a(n-13) +22684*a(n-14) -11790*a(n-15) -5098*a(n-16) +19906*a(n-17) -28138*a(n-18) +26916*a(n-19) -18981*a(n-20) +10893*a(n-21) -5677*a(n-22) +2813*a(n-23) -1228*a(n-24) +419*a(n-25) -101*a(n-26) +15*a(n-27) -a(n-28)

Example

Some solutions for n=4
..0..1..2.11..3..5....0..1..2..3..4..5....8..0..1.11..3..4....8..0..1.11..3..5
.14.15..7..8..4.10....6..7.16..8..9.10....6..7..2.17..9..5....6..7..2..9..4.10
..6.12.13..9.16.17...12.13.14.23.15.11...12.21.14.15.10.16...12.13.14.15.16.17
.26.19.28.20.21.23...18.27.19.21.22.17...26.13.19.20.22.23...18.27.19.21.22.23
.18.24.25.27.22.29...24.25.20.26.28.29...18.24.25.27.28.29...24.25.20.26.28.29

Crossrefs

Cf. A264285.

Sequence in context: A093743 A279638 A209359 * A167963 A085742 A244502

Adjacent sequences: A264279 A264280 A264281 * A264283 A264284 A264285

Keyword

nonn

Author

R. H. Hardin, Nov 10 2015

Status

approved