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A269183 Number of nX5 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three exactly once. 1

%I

%S 432,18336,1031344,52394312,2563440512,121792778352,5665397992608,

%T 259306140235672,11718368891185840,524154208020159720,

%U 23247356088445416368,1023776741213223461792,44814164049516781057936

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

%C Column 5 of A269186.

%H R. H. Hardin, <a href="/A269183/b269183.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 118*a(n-1) -5041*a(n-2) +93278*a(n-3) -616456*a(n-4) -3048560*a(n-5) +60109885*a(n-6) -129687930*a(n-7) -1739169369*a(n-8) +8259890048*a(n-9) +20240706091*a(n-10) -173579758748*a(n-11) -34263378926*a(n-12) +1854959811756*a(n-13) -1352133363698*a(n-14) -11158815731728*a(n-15) +13195242387667*a(n-16) +40081045519402*a(n-17) -56960114535700*a(n-18) -88448187207398*a(n-19) +137934077935370*a(n-20) +119462198991804*a(n-21) -202996386004581*a(n-22) -94913498792266*a(n-23) +187975033925075*a(n-24) +38342927037264*a(n-25) -110576189373568*a(n-26) -1510870946200*a(n-27) +40619114535308*a(n-28) -5466962964240*a(n-29) -8777770697408*a(n-30) +2325318442944*a(n-31) +946747193728*a(n-32) -404404766528*a(n-33) -21593127872*a(n-34) +28030228480*a(n-35) -2948913408*a(n-36) -308060672*a(n-37) +51977984*a(n-38) +752640*a(n-39) -230400*a(n-40) for n>41

%e Some solutions for n=2

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

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

%Y Cf. A269186.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 20 2016

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Last modified July 15 16:09 EDT 2019. Contains 325049 sequences. (Running on oeis4.)