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A279802 Number of nX3 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 4

%I

%S 2,22,740,19376,507986,12910722,323712032,8013623436,196400852184,

%T 4773606700366,115217934303248,2764478696453498,65990691037253840,

%U 1568251660224288550,37123381500487456052,875734939465031708698

%N Number of nX3 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 3 of A279805.

%H R. H. Hardin, <a href="/A279802/b279802.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 44*a(n-1) -470*a(n-2) -356*a(n-3) +1443*a(n-4) -12204*a(n-5) +52388*a(n-6) +227364*a(n-7) -92500*a(n-8) +359704*a(n-9) -214436*a(n-10) -18541144*a(n-11) -27097896*a(n-12) +15057488*a(n-13) +4532384*a(n-14) +367526928*a(n-15) +1632126768*a(n-16) +1355405664*a(n-17) -2409646448*a(n-18) -8100510688*a(n-19) -22633097488*a(n-20) -40981890944*a(n-21) -7027056768*a(n-22) +151340134016*a(n-23) +338905381312*a(n-24) +195055954944*a(n-25) -390453793792*a(n-26) -857307838464*a(n-27) -533793509376*a(n-28) +337493164032*a(n-29) +725394309120*a(n-30) +310395666432*a(n-31) -190193598464*a(n-32) -188853780480*a(n-33) -15603859456*a(n-34) +30324817920*a(n-35) -3774873600*a(n-36) for n>37

%e Some solutions for n=4

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

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

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

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

%Y Cf. A279805.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2016

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Last modified July 30 07:55 EDT 2021. Contains 346348 sequences. (Running on oeis4.)