A263033 Number of (n+2)X(1+2) 0..1 arrays with each row and column not divisible by 5, read as a binary number with top and left being the most significant bits.

98, 512, 3711, 24013, 142344, 839216, 5128489, 31001921, 185695082, 1111399040, 6683005863, 40131775549, 240734834880, 1443900139952, 8665852404001, 52000488541745, 311993105964146, 1871866398248960, 11231623403277711

Offset

1,1

Comments

Column 1 of A263040.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -31*a(n-2) +117*a(n-3) +111*a(n-4) -3105*a(n-5) +11163*a(n-6) -44577*a(n-7) +54480*a(n-8) +312066*a(n-9) -1253202*a(n-10) +5661630*a(n-11) -10623030*a(n-12) -6302070*a(n-13) +44353650*a(n-14) -285745590*a(n-15) +608932635*a(n-16) -336973095*a(n-17) +17702745*a(n-18) +5906191005*a(n-19) -13283846169*a(n-20) +13243177431*a(n-21) -21990624909*a(n-22) -40461569577*a(n-23) +93075113494*a(n-24) -109367769060*a(n-25) +214864926232*a(n-26) +34835506992*a(n-27) -80389631520*a(n-28) +96467557824*a(n-29) -192935115648*a(n-30)

Example

Some solutions for n=4
..0..1..1....1..1..1....0..1..0....0..1..0....0..1..1....0..1..0....1..1..0
..0..0..1....1..1..1....1..1..0....0..0..1....1..1..1....1..1..0....0..1..0
..0..0..1....0..1..0....1..1..1....0..0..1....1..0..0....0..0..1....1..1..0
..1..1..0....1..1..0....0..1..1....1..1..0....0..0..1....0..1..1....1..1..0
..1..1..1....0..1..1....0..1..0....1..1..0....1..0..0....0..1..1....0..1..1
..0..0..1....0..1..1....0..1..1....1..0..0....1..1..0....1..0..0....0..1..1

Crossrefs

Cf. A263040.

Sequence in context: A158129 A071319 A263040 * A239173 A233928 A233921

Adjacent sequences: A263030 A263031 A263032 * A263034 A263035 A263036

Keyword

nonn

Author

R. H. Hardin, Oct 08 2015

Status

approved