A240702 Number of nX4 0..3 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order

5, 193, 7980, 332412, 13844254, 576606991, 24015292771, 1000221764213, 41658596795154, 1735053968891083, 72263890048725573, 3009744886107001662, 125353953016217917597, 5220912114439726318651, 217447656421647208273762

Offset

1,1

Comments

Column 4 of A240706

Links

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

Formula

Empirical: a(n) = 45*a(n-1) -79*a(n-2) -2693*a(n-3) +6906*a(n-4) +11122*a(n-5) -82634*a(n-6) -122470*a(n-7) +1250800*a(n-8) -381472*a(n-9) -4689240*a(n-10) +10859688*a(n-11) +12837510*a(n-12) -33250446*a(n-13) -54296730*a(n-14) +18494730*a(n-15) +56054997*a(n-16) +33620751*a(n-17) +59068683*a(n-18) -29229255*a(n-19) -70150212*a(n-20)

Example

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

Crossrefs

Sequence in context: A198485 A177192 A100760 * A240639 A198482 A198523

Adjacent sequences: A240699 A240700 A240701 * A240703 A240704 A240705

Keyword

nonn

Author

R. H. Hardin, Apr 10 2014

Status

approved