A196014 Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself.

1, 3, 13, 27, 106, 316, 835, 2350, 7232, 21846, 63985, 186029, 548387, 1625398, 4800819, 14129048, 41608725, 122724222, 362055916, 1067475979, 3146535362, 9276448225, 27352573231, 80649512515, 237779505381, 701041117758

Offset: 1

Author

R. H. Hardin Sep 26 2011

Keywords

• nonn

Comments

Column 5 of A196017

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) +a(n-3) +19*a(n-4) -7*a(n-5) -16*a(n-6) -26*a(n-7) -90*a(n-8) +26*a(n-10) +41*a(n-11) +143*a(n-12) +3*a(n-13) -26*a(n-14) -17*a(n-15) -40*a(n-16) -4*a(n-17) +36*a(n-18) -18*a(n-19) -24*a(n-20) +11*a(n-21) +8*a(n-22) -4*a(n-23) for n>26