A230751 Number of (n+3)X(2+3) 0..2 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

192, 5544, 178608, 4838400, 129731328, 3423037464, 90231813552, 2371911724800, 62340751389888, 1637784374230152, 43026042037169712, 1130254426477308672, 29690633338904531712, 779934263524825538808, 20487845491955757699888

Offset: 1

Author

R. H. Hardin, Oct 29 2013

Keywords

• nonn

Comments

Column 2 of A230757

Examples

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

Links

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

Formula

Empirical: a(n) = 31*a(n-1) -3864*a(n-3) +14574*a(n-4) +37518*a(n-5) -238176*a(n-6) +1739072*a(n-7) -6602591*a(n-8) -1491775*a(n-9) [phone]*a(n-10) [phone]*a(n-11) -386330924*a(n-12) -86274348*a(n-13) [phone]*a(n-14) -2006665968*a(n-15) [phone]*a(n-16) -3512617823*a(n-17) [phone]*a(n-18) -4346818712*a(n-19) [phone]*a(n-20) -5792501698*a(n-21) [phone]*a(n-22) -2919714960*a(n-23) -5125129473*a(n-24) -560243617*a(n-25) [phone]*a(n-26) -444124168*a(n-27) -992749888*a(n-28) [phone]*a(n-29) -8986624*a(n-30) -13069312*a(n-31) -25735168*a(n-32) +1699840*a(n-33) -32768*a(n-35) +262144*a(n-36)