A297335 - OEIS

A297335

Number of n X 5 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s.

13, 134, 1310, 13067, 130297, 1299649, 12964224, 129324245, 1290083201, 12869360145, 128379790482, 1280667891875, 12775456497741, 127443106317577, 1271324083289632, 12682246822046233, 126513283854140245

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) - 40*a(n-2) - 12*a(n-3) + 107*a(n-4) - 12*a(n-5) - 60*a(n-6) + 16*a(n-7) for n>8.

Empirical g.f.: x*(13 - 48*x - 46*x^2 + 243*x^3 - 24*x^4 - 291*x^5 + 40*x^6 + 16*x^7) / ((1 + x)*(1 - 2*x)*(1 - 13*x + 29*x^2 + 15*x^3 - 34*x^4 + 8*x^5)). - Colin Barker, Feb 27 2019

EXAMPLE

Some solutions for n=5:

..0..0..1..0..1. .0..0..0..0..0. .0..0..0..0..0. .1..0..0..0..0

..0..0..0..0..0. .0..1..0..1..0. .1..0..0..1..0. .1..0..1..0..0

..0..0..1..0..1. .0..0..0..1..0. .0..0..0..1..1. .1..0..1..0..1

..1..0..0..0..0. .1..0..0..0..1. .0..0..1..1..0. .0..0..1..0..0

..0..1..0..0..0. .0..0..0..0..1. .1..0..0..0..1. .0..0..0..1..0

CROSSREFS

Column 5 of A297338.

Sequence in context: A154999 A228277 A221153 * A262572 A132935 A132930

Adjacent sequences: A297332 A297333 A297334 * A297336 A297337 A297338

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 28 2017

STATUS

approved