A240036 Number of nX5 0..2 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 3

8, 10, 42, 52, 154, 178, 494, 600, 1606, 2014, 5262, 6690, 17464, 22360, 58342, 74736, 194784, 249738, 650892, 834326, 2174114, 2786028, 7260062, 9299282, 24230362, 31026484, 80832010, 103476740, 269526292, 344976344, 898349934, 1149695244

Offset

1,1

Comments

Column 5 of A240039

Links

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

Formula

Empirical: a(n) = 24*a(n-2) -254*a(n-4) +1540*a(n-6) -5743*a(n-8) +12572*a(n-10) -9844*a(n-12) -29846*a(n-14) +118468*a(n-16) -204106*a(n-18) +182686*a(n-20) +18168*a(n-22) -371269*a(n-24) +732749*a(n-26) -915915*a(n-28) +882644*a(n-30) -769800*a(n-32) +661777*a(n-34) -565432*a(n-36) +534609*a(n-38) -520131*a(n-40) +330402*a(n-42) -7073*a(n-44) -202359*a(n-46) +322607*a(n-48) -341400*a(n-50) +75883*a(n-52) +180888*a(n-54) -214325*a(n-56) +211488*a(n-58) -133525*a(n-60) +39168*a(n-62) -41213*a(n-64) +32114*a(n-66) +51*a(n-68) -15949*a(n-70) +5028*a(n-72) +5318*a(n-74) +1581*a(n-76) -642*a(n-78) +392*a(n-80) -233*a(n-82) -14*a(n-84) +4*a(n-86) for n>89

Example

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

Crossrefs

Sequence in context: A303527 A367893 A325999 * A091632 A060768 A218464

Adjacent sequences: A240033 A240034 A240035 * A240037 A240038 A240039

Keyword

nonn

Author

R. H. Hardin, Mar 31 2014

Status

approved