A240456 Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4

4, 21, 102, 476, 2200, 10123, 46471, 213000, 975380, 4464474, 20429739, 93474260, 427645941, 1956395954, 8949898045, 40942368765, 187294120155, 856787747966, 3919414321141, 17929510264717, 82019155503670, 375199231601451

Offset

1,1

Comments

Column 2 of A240460

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -20*a(n-2) +34*a(n-3) -84*a(n-4) +92*a(n-5) -68*a(n-6) +222*a(n-7) +13*a(n-8) -251*a(n-9) +25*a(n-10) -495*a(n-11) +485*a(n-12) -44*a(n-13) -180*a(n-14) +554*a(n-15) -648*a(n-16) +14*a(n-17) +152*a(n-18) -190*a(n-19) -140*a(n-20) +397*a(n-21) -273*a(n-22) +75*a(n-23) +167*a(n-24) -136*a(n-25) +27*a(n-26)

Example

Some solutions for n=4
..2..0....2..0....0..2....2..2....0..0....2..2....2..2....2..0....0..2....2..2
..0..2....0..0....2..0....2..2....2..2....0..0....2..2....3..2....2..2....3..2
..3..3....0..0....3..2....2..0....3..2....2..2....0..2....2..2....2..0....3..2
..3..1....2..2....3..1....2..2....3..2....0..2....0..3....0..0....2..0....2..2

Crossrefs

Sequence in context: A292308 A076901 A080043 * A113022 A291184 A014986

Adjacent sequences: A240453 A240454 A240455 * A240457 A240458 A240459

Keyword

nonn

Author

R. H. Hardin, Apr 05 2014

Status

approved