A232315 Number of (n+1) X (7+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.

1784, 196698, 22161823, 2499669158, 281959315373, 31805180533255, 3587649343841650, 404689731634719335, 45649328032459819031, 5149281019623345273371, 580843052186352251086893

Offset: 1

Author

R. H. Hardin, Nov 22 2013

Keywords

• nonn

Comments

Column 7 of A232316.

Examples

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

Links

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

Crossrefs

Cf. A232316.

Formula

Empirical: a(n) = 141*a(n-1) -3378*a(n-2) +21209*a(n-3) +130164*a(n-4) -1632986*a(n-5) -1334372*a(n-6) [phone]*a(n-7) -17669770*a(n-8) -851814078*a(n-9) [phone]*a(n-10) [phone]*a(n-11) -6773841647*a(n-12) -41349039011*a(n-13) [phone]*a(n-14) [phone]*a(n-15) -263951756782*a(n-16) -31349979351*a(n-17) [phone]*a(n-18) -356266779364*a(n-19) -574818621993*a(n-20) [phone]*a(n-21) -116525671276*a(n-22) [phone]*a(n-23) [phone]*a(n-24) -685413663937*a(n-25) -479062341184*a(n-26) [phone]*a(n-27) [phone]*a(n-28) -49631689847*a(n-29) -20468478023*a(n-30) [phone]*a(n-31) [phone]*a(n-32) [phone]*a(n-33) -141509*a(n-34) -15786*a(n-35) -972*a(n-36) +a(n-37) for n>40.