A231052 Number of 4Xn 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, 10, 410, 2080, 20050, 310804, 4110640, 50618998, 638796662, 8156441186, 103727443616, 1316635701154, 16723288145932, 212476379058152, 2699313938169806, 34290564462889370, 435615577448735910

Offset

1,2

Comments

Row 4 of A231049

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +26*a(n-2) +92*a(n-3) +616*a(n-4) -4329*a(n-5) -16937*a(n-6) +9747*a(n-7) +74627*a(n-8) +138730*a(n-9) +199463*a(n-10) -165251*a(n-11) -709116*a(n-12) -1160893*a(n-13) -2172906*a(n-14) -2451394*a(n-15) -1288052*a(n-16) +2653888*a(n-17) +4205208*a(n-18) +4581464*a(n-19) +2645760*a(n-20) -2865936*a(n-21) -4590592*a(n-22) -1547392*a(n-23) +1079872*a(n-24) +722560*a(n-25) +97536*a(n-26) +29696*a(n-27) +37888*a(n-28) +6144*a(n-29) -4096*a(n-30) -16384*a(n-31) for n>32

Example

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

Crossrefs

Sequence in context: A162677 A041767 A130557 * A364118 A085000 A248553

Adjacent sequences: A231049 A231050 A231051 * A231053 A231054 A231055

Keyword

nonn

Author

R. H. Hardin, Nov 03 2013

Status

approved