A218661 Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 nX6 array

31, 3519, 199489, 12383361, 775176415, 48231228511, 3004025019009, 187110346460865, 11653760352498463, 725837910289490239, 45207782461323582145, 2815700819921566341313, 175371845132587985115103

Offset

1,1

Comments

Column 6 of A218663

Links

R. H. Hardin, Table of n, a(n) for n = 1..207

Formula

Empirical: a(n) = 44*a(n-1) +867*a(n-2) +16044*a(n-3) +52184*a(n-4) +219408*a(n-5) -2896552*a(n-6) +917568*a(n-7) -25421202*a(n-8) +135406584*a(n-9) -107845290*a(n-10) +627256872*a(n-11) -2093643936*a(n-12) +1109711664*a(n-13) -4042730304*a(n-14) +9244418112*a(n-15) +947037339*a(n-16) +1414420380*a(n-17) -4269096657*a(n-18) -173831508*a(n-19) -21695040*a(n-20) +555393024*a(n-21)

Example

Some solutions for n=3
..0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..0..1..1....0..1..1..1..1..0
..0..0..0..1..1..1....1..1..0..0..0..1....1..0..0..0..0..0....1..0..0..1..1..1
..1..1..0..0..0..1....0..1..0..1..0..1....1..0..1..0..0..1....1..1..0..1..1..1

Crossrefs

Sequence in context: A271070 A262926 A330398 * A183783 A072913 A001237

Adjacent sequences: A218658 A218659 A218660 * A218662 A218663 A218664

Keyword

nonn

Author

R. H. Hardin Nov 04 2012

Status

approved