A232841 Number of (2+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally

16, 312, 6664, 67718, 1051216, 17686598, 265341016, 3829830598, 58936793732, 903190534810, 13541666159416, 204173378654170, 3101530941597892, 46929309853930974, 708692945714600096, 10722849759496524134

Offset

1,1

Comments

Row 2 of A232839

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +13*a(n-2) +1133*a(n-3) +5465*a(n-4) -11067*a(n-5) -8377*a(n-6) -457511*a(n-7) -535176*a(n-8) -831303*a(n-9) +1546174*a(n-10) +17664008*a(n-11) +47557034*a(n-12) +7172876*a(n-13) +11021048*a(n-14) -103074156*a(n-15) -445453528*a(n-16) -148653360*a(n-17) -187870536*a(n-18) +993637760*a(n-19) +688136704*a(n-20) -1921134496*a(n-21) -775706432*a(n-22) +1313003264*a(n-23) +1084039168*a(n-24) +57272064*a(n-25) -707039232*a(n-26) +119319552*a(n-27) +164847616*a(n-28) -57176064*a(n-29) +47677440*a(n-30) -26951680*a(n-31) -17891328*a(n-32) -1572864*a(n-33)

Example

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

Crossrefs

Sequence in context: A360431 A039746 A232834 * A320064 A172211 A254151

Adjacent sequences: A232838 A232839 A232840 * A232842 A232843 A232844

Keyword

nonn

Author

R. H. Hardin, Nov 30 2013

Status

approved