A238511 Number of (n+1)X(2+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..3 introduced in row major order

25, 401, 14407, 430504, 13398587, 413256106, 12771744135, 394537124897, 12189010788413, 376564621157074, 11633561391153531, 359406052601243460, 11103456404402492173, 343029107715954897545, 10597508186010294218619

Offset

1,1

Comments

Column 2 of A238515

Links

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

Formula

Empirical: a(n) = 22*a(n-1) +277*a(n-2) +42*a(n-3) -3413*a(n-4) -576*a(n-5) +1877*a(n-6) +38722*a(n-7) -43921*a(n-8) -27402*a(n-9) +38409*a(n-10) -4968*a(n-11) -9432*a(n-12) +8640*a(n-13) +3456*a(n-14)

Example

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

Crossrefs

Sequence in context: A028075 A042204 A028112 * A028064 A028061 A026561

Adjacent sequences: A238508 A238509 A238510 * A238512 A238513 A238514

Keyword

nonn

Author

R. H. Hardin, Feb 27 2014

Status

approved