A240383 Number of 3Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4

10, 44, 330, 1494, 12234, 57722, 477574, 2261528, 18754102, 88905970, 737608314, 3497413372, 29019200234, 137602592286, 1141759996940, 5414024874816, 44923190320370, 213018323989062, 1767534025443302, 8381357456668862

Offset

1,1

Comments

Row 3 of A240381

Links

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

Formula

Empirical: a(n) = 63*a(n-2) -1109*a(n-4) +7143*a(n-6) -395*a(n-8) -201246*a(n-10) +762860*a(n-12) +347011*a(n-14) -7366154*a(n-16) +11744674*a(n-18) +3758987*a(n-20) +10095295*a(n-22) -126415852*a(n-24) +204390541*a(n-26) -65238786*a(n-28) -59211883*a(n-30) -114625640*a(n-32) +381020006*a(n-34) -342073760*a(n-36) +16725276*a(n-38) +181283664*a(n-40) -110895680*a(n-42) +16492080*a(n-44) +1175136*a(n-46) +390464*a(n-48) for n>50

Example

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

Crossrefs

Sequence in context: A126397 A164607 A200189 * A160970 A202296 A299530

Adjacent sequences: A240380 A240381 A240382 * A240384 A240385 A240386

Keyword

nonn

Author

R. H. Hardin, Apr 04 2014

Status

approved