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

1,2

Comments

Column 5 of A196017

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

Example

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

Crossrefs

Sequence in context: A271625 A099062 A318368 * A266215 A192535 A002304

Adjacent sequences: A196011 A196012 A196013 * A196015 A196016 A196017

Keyword

nonn

Author

R. H. Hardin Sep 26 2011

Status

approved