A198594 Number of 2nX4 0..3 arrays with values 0..3 introduced in row major order and each element equal to an odd number of horizontal and vertical neighbors

17, 2684, 511661, 101749556, 20489929961, 4142124332044, 838329027803141, 169730671672463748, 34367910101781840193, 6959214284742747147804, 1409196791555539177862621, 285354290765682664063587924

Offset

1,1

Comments

Column 2 of A198596

Links

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

Formula

Empirical: a(n) = 343*a(n-1) -35462*a(n-2) +1600122*a(n-3) -40645571*a(n-4) +910861141*a(n-5) -17933750300*a(n-6) +206474654564*a(n-7) -1545213193753*a(n-8) +17076900852639*a(n-9) -165556364104858*a(n-10) +962137513144550*a(n-11) -7685011645242867*a(n-12) +74670341906638341*a(n-13) -794587968268894728*a(n-14) +3476503360884748536*a(n-15) +14896244937868310565*a(n-16) +94927345244467186221*a(n-17) -1382857239540954431322*a(n-18) -3428119555478353721178*a(n-19) +23023301009241433661631*a(n-20) -103993688885839190013177*a(n-21) -17909669011797998197020*a(n-22) +8121316885488234137655396*a(n-23) +7629117132938757327153909*a(n-24) -120932749055429067671907363*a(n-25) -328533262499759605390931526*a(n-26) +636266388526244319231811386*a(n-27) +320900400498258107180301303*a(n-28) -523347633027360537213511521*a(n-29)

Example

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

Crossrefs

Sequence in context: A171704 A198288 A092814 * A138199 A125000 A228195

Adjacent sequences: A198591 A198592 A198593 * A198595 A198596 A198597

Keyword

nonn

Author

R. H. Hardin Oct 27 2011

Status

approved