A241110 Number of nX4 0..2 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..2 introduced in row major order

14, 953, 60340, 3829419, 242964166, 15415566961, 978087593971, 62057748267728, 3937442921908646, 249823063157133762, 15850785425018320234, 1005701376869763009802, 63809788115736016913149

Offset

1,1

Comments

Column 4 of A241114

Links

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

Formula

Empirical: a(n) = 60*a(n-1) +225*a(n-2) -387*a(n-3) -1087*a(n-4) +35073*a(n-5) +80687*a(n-6) -962910*a(n-7) -1462448*a(n-8) +9919819*a(n-9) -5432573*a(n-10) -78281518*a(n-11) +112876482*a(n-12) +405993061*a(n-13) -606856750*a(n-14) -1205871424*a(n-15) +2092511320*a(n-16) +2607903212*a(n-17) -2370445443*a(n-18) +2625438137*a(n-19) -4322952344*a(n-20) -23251814293*a(n-21) +81148142*a(n-22) +8345223032*a(n-23) +3986585248*a(n-24) +24600616208*a(n-25) +3668273392*a(n-26) -4567140352*a(n-27) +10017487680*a(n-28) -5292830464*a(n-29) -10715690752*a(n-30) +2043761920*a(n-31) -497378816*a(n-32) -7310107648*a(n-33) -1714114560*a(n-34) +897372160*a(n-35) +209145856*a(n-36) +820805632*a(n-37) +440958976*a(n-38) +5898240*a(n-39) +16515072*a(n-40) -4718592*a(n-41) -6291456*a(n-42) for n>43

Example

Some solutions for n=3
..0..1..2..2....0..1..0..0....0..1..1..2....0..1..2..0....0..0..1..0
..0..0..2..2....2..2..1..1....1..1..0..1....1..1..0..0....2..2..0..0
..1..2..1..0....0..1..2..0....1..2..1..0....0..2..0..2....0..0..2..1

Crossrefs

Sequence in context: A337576 A350566 A199651 * A055152 A171183 A064729

Adjacent sequences: A241107 A241108 A241109 * A241111 A241112 A241113

Keyword

nonn

Author

R. H. Hardin, Apr 16 2014

Status

approved