A231046 Number of nX5 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero

0, 100, 644, 20050, 344136, 7293728, 142466422, 2871061676, 57167235796, 1143545760606, 22834586760592, 456274562629780, 9114796829043214, 182100336288975336, 3637960938217657028, 72679448308125342402

Offset

1,2

Comments

Column 5 of A231049

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +161*a(n-2) +479*a(n-3) -6440*a(n-4) -76243*a(n-5) -10558*a(n-6) +451344*a(n-7) +2020488*a(n-8) -2582232*a(n-9) +385720*a(n-10) -11411116*a(n-11) +16317478*a(n-12) -7836152*a(n-13) +22258694*a(n-14) -43868182*a(n-15) +22620856*a(n-16) -14534462*a(n-17) +58185316*a(n-18) -20490672*a(n-19) -20508996*a(n-20) -30191252*a(n-21) +1794712*a(n-22) +8269896*a(n-23) +5870551*a(n-24) +2241164*a(n-25) -96667*a(n-26) -21533*a(n-27) -650816*a(n-28) -264235*a(n-29) -125314*a(n-30) +61088*a(n-31) +29008*a(n-32) +12576*a(n-33) -1024*a(n-34) -192*a(n-35) -128*a(n-36)

Example

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

Crossrefs

Sequence in context: A357748 A357747 A231759 * A250707 A250708 A235856

Adjacent sequences: A231043 A231044 A231045 * A231047 A231048 A231049

Keyword

nonn

Author

R. H. Hardin, Nov 03 2013

Status

approved