A232073 Number of (n+1)X(5+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero.

601, 26587, 1313477, 64298979, 3154769585, 154723539035, 7588839921175, 372212311236497, 18256039956940439, 895410839428587845, 43917552649460225906, 2154040733553483724441, 105650046626276283099403

Offset: 1

Author

R. H. Hardin, Nov 17 2013

Keywords

• nonn

Comments

Column 5 of A232076

Examples

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

Links

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

Formula

Empirical: a(n) = 36*a(n-1) +621*a(n-2) +1905*a(n-3) -39207*a(n-4) -411402*a(n-5) -898125*a(n-6) +9425393*a(n-7) [phone]*a(n-8) [phone]*a(n-9) -879007533*a(n-10) -4910760430*a(n-11) -5538189143*a(n-12) [phone]*a(n-13) [phone]*a(n-14) [phone]*a(n-15) -435334756085*a(n-16) -1303280584822*a(n-17) -335724807381*a(n-18) [phone]*a(n-19) [phone]*a(n-20) [phone]*a(n-21) -4910435900712*a(n-22) -8006645842945*a(n-23) -6555595728604*a(n-24) -8685616697980*a(n-25) [phone]*a(n-26) [phone]*a(n-27) [phone]*a(n-28) [phone]*a(n-29) -15274511535622*a(n-30) -15229622369906*a(n-31) [phone]*a(n-32) [phone]*a(n-33) [phone]*a(n-34) -4173602288058*a(n-35) -2444349654584*a(n-36) -2452573728389*a(n-37) [phone]*a(n-38) -79247649905*a(n-39) [phone]*a(n-40) -274104583405*a(n-41) -9793704008*a(n-42) [phone]*a(n-43) -7963078993*a(n-44) [phone]*a(n-45) -9444076*a(n-46) -4479389*a(n-47) +581064*a(n-48) -22036*a(n-49) +72*a(n-50)