A269198 Number of n X 5 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three no more than once.

756, 68052, 5877228, 463790340, 34838403756, 2532677348772, 179867149105740, 12551707872624132, 864008559706781292, 58827234014669683044, 3969574872302454754188, 265864675607662372035012

Offset

1,1

Comments

Column 5 of A269201.

Links

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

Formula

Empirical: a(n) = 156*a(n-1) -8170*a(n-2) +166732*a(n-3) -1381249*a(n-4) +2520764*a(n-5) +23584856*a(n-6) -130579860*a(n-7) +143100280*a(n-8) +633365472*a(n-9) -2425054036*a(n-10) +3486590032*a(n-11) -2082954096*a(n-12) -207585696*a(n-13) +891171072*a(n-14) -335167488*a(n-15) -34112320*a(n-16) +43766784*a(n-17) -8385024*a(n-18) +497664*a(n-19) -9216*a(n-20) for n>21.

Example

Some solutions for n=2
..1..0..1..1..1. .0..1..0..2..2. .0..1..1..1..2. .2..0..1..1..0
..0..0..1..0..0. .3..1..1..0..0. .0..0..0..0..1. .2..3..3..1..0

Crossrefs

Cf. A269201.

Sequence in context: A037191 A269191 A269140 * A269106 A035853 A269286

Adjacent sequences: A269195 A269196 A269197 * A269199 A269200 A269201

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved