A269211 Number of nX5 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once.

432, 49536, 4744704, 394072704, 30541426560, 2267772823680, 163535201141376, 11544796423498368, 801929439109544064, 54999867607734747264, 3733606080456064161408, 251316480848067823807104

Offset

1,1

Comments

Column 5 of A269214.

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..0..0..2. .1..3..1..3..0. .0..1..0..1..1. .1..3..0..2..3
..2..0..0..2..3. .1..0..1..1..3. .3..2..3..0..1. .3..1..3..2..2

Crossrefs

Cf. A269214.

Sequence in context: A299861 A269149 A113921 * A269094 A269273 A300053

Adjacent sequences: A269208 A269209 A269210 * A269212 A269213 A269214

Keyword

nonn

Author

R. H. Hardin, Feb 20 2016

Status

approved