A239995 Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4

3, 13, 61, 256, 1117, 5012, 22592, 102336, 465662, 2123857, 9698188, 44317651, 202610817, 926532786, 4237612923, 19382872561, 88661747469, 405570672096, 1855255219753, 8486814865920, 38822908166872, 177595801954595

Offset

1,1

Comments

Column 2 of A240000

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=5
..3..3....0..3....0..3....3..3....3..3....3..3....3..3....0..0....0..3....3..3
..0..3....3..2....0..0....0..2....0..3....0..3....0..3....3..3....0..2....0..3
..0..3....2..1....3..3....0..0....2..2....0..3....3..2....3..3....3..2....3..3
..2..2....2..1....0..2....3..2....2..1....3..2....3..1....2..2....2..2....2..1
..2..0....2..0....2..0....3..2....2..0....3..3....2..1....3..1....0..0....3..1

Crossrefs

Sequence in context: A112568 A104089 A334150 * A319924 A108143 A101368

Adjacent sequences: A239992 A239993 A239994 * A239996 A239997 A239998

Keyword

nonn

Author

R. H. Hardin, Mar 30 2014

Status

approved