A241134 Number of nX3 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order

1, 5, 24, 152, 935, 6150, 40504, 269481, 1797120, 12006500, 80271767, 536871242, 3591277652, 24025055521, 160729893196, 1075318230432, 7194178531255, 48131264332222, 322013597082816, 2154376343705369, 14413489436501544

Offset

1,2

Comments

Column 3 of A241138

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +3*a(n-2) -21*a(n-3) -45*a(n-4) -293*a(n-5) -87*a(n-6) +857*a(n-7) +2153*a(n-8) +3773*a(n-9) +501*a(n-10) -1147*a(n-11) -4888*a(n-12) -15704*a(n-13) +1372*a(n-14) -4728*a(n-15) +4720*a(n-16) +1656*a(n-17) -59632*a(n-18) -55392*a(n-19) -57664*a(n-20) -22400*a(n-21) -2304*a(n-22) -19456*a(n-23) -47104*a(n-24) -114688*a(n-25) -65536*a(n-26) for n>27

Example

Some solutions for n=4
..0..0..1....0..0..0....0..0..0....0..1..1....0..0..0....0..1..0....0..0..0
..2..2..1....1..2..1....1..1..1....0..2..2....1..1..1....0..1..0....1..0..2
..1..1..2....1..2..1....2..0..2....0..1..1....2..2..0....0..2..2....1..0..2
..0..0..2....0..0..1....2..0..2....0..2..2....1..1..0....0..1..1....0..0..0

Crossrefs

Sequence in context: A228067 A372138 A322208 * A340358 A009424 A184597

Adjacent sequences: A241131 A241132 A241133 * A241135 A241136 A241137

Keyword

nonn

Author

R. H. Hardin, Apr 16 2014

Status

approved