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A269190 Number of nX4 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once. 1

%I #4 Feb 20 2016 09:42:59

%S 216,4476,115452,2817548,67134380,1567933676,36068275268,819789099172,

%T 18452018423420,411983259384452,9136178140885388,201433537180523700,

%U 4419013543755451812,96521322466937887324,2100165198065619059932

%N Number of nX4 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once.

%C Column 4 of A269194.

%H R. H. Hardin, <a href="/A269190/b269190.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 46*a(n-1) -607*a(n-2) +1264*a(n-3) +11029*a(n-4) -27640*a(n-5) -86627*a(n-6) +153412*a(n-7) +308464*a(n-8) -329306*a(n-9) -438615*a(n-10) +260680*a(n-11) +134834*a(n-12) -65824*a(n-13) -9889*a(n-14) +5080*a(n-15) -400*a(n-16) for n>17

%e Some solutions for n=3

%e ..0..0..3..1. .3..3..3..3. .3..3..1..3. .0..0..0..0. .0..1..0..2

%e ..1..1..1..1. .3..1..3..1. .1..3..1..0. .1..0..0..0. .2..0..0..2

%e ..1..0..1..0. .1..3..1..3. .1..3..1..1. .2..0..1..1. .2..2..2..0

%Y Cf. A269194.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 20 2016

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)