A189448 Number of n X 8 array permutations with each element moving zero or one space horizontally or diagonally.

34, 11705, 2455013, 569476049, 129699382789, 29628810704689, 6765736745152657, 1544933702911323688, 352785827356726984192, 80558653487951364549221, 18395575161567635569195834, 4200631099715909550808300301

Offset

1,1

Comments

Column 8 of A189449.

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 271*a(n-1) -9281*a(n-2) -132793*a(n-3) +6435503*a(n-4) +6180631*a(n-5) -1532732417*a(n-6) +31313049127*a(n-7) -572074427641*a(n-8) +7170704782047*a(n-9) -51266858495897*a(n-10) +231917665131791*a(n-11) -707422794603657*a(n-12) +1512758157163207*a(n-13) -2416565333435121*a(n-14) +3828566087055831*a(n-15) -4502939947225841*a(n-16) +2761124753871575*a(n-17) -3103177724436865*a(n-18) +2492986861400335*a(n-19) -3031830947082385*a(n-20) +3031830947082385*a(n-21) -2492986861400335*a(n-22) +3103177724436865*a(n-23) -2761124753871575*a(n-24) +4502939947225841*a(n-25) -3828566087055831*a(n-26) +2416565333435121*a(n-27) -1512758157163207*a(n-28) +707422794603657*a(n-29) -231917665131791*a(n-30) +51266858495897*a(n-31) -7170704782047*a(n-32) +572074427641*a(n-33) -31313049127*a(n-34) +1532732417*a(n-35) -6180631*a(n-36) -6435503*a(n-37) +132793*a(n-38) +9281*a(n-39) -271*a(n-40) +a(n-41) for n>43.

Example

Some solutions for 3 X 8
..0..1..2..3.13..5..7..6....0..1..2..3..4..5..6..7....0..1.11..2..5..4..6..7
..8..9.10.11.21..4.15.14....8..9.11.10.13.12.15.14....8.10..9.12..3.13.15.14
.16.18.17.20.19.12.22.23...16.18.17.20.19.21.22.23...16.17.18.19.21.20.23.22

Crossrefs

Cf. A189449.

Sequence in context: A033511 A246240 A273352 * A214368 A328293 A220870

Adjacent sequences: A189445 A189446 A189447 * A189449 A189450 A189451

Keyword

nonn

Author

R. H. Hardin, Apr 22 2011

Status

approved