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A269764 Number of nX5 0..5 arrays with some element plus some horizontally or vertically adjacent neighbor totalling five exactly once. 1

%I #4 Mar 04 2016 12:07:38

%S 3000,14288400,37212131520,81208264293720,162622227315688800,

%T 309460647800786666280,569305610361027610254240,

%U 1022424348163788969190179600,1803405199238211022583496752160

%N Number of nX5 0..5 arrays with some element plus some horizontally or vertically adjacent neighbor totalling five exactly once.

%C Column 5 of A269767.

%H R. H. Hardin, <a href="/A269764/b269764.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3568*a(n-1) -3927870*a(n-2) +1385802278*a(n-3) -240944625125*a(n-4) +23846037767836*a(n-5) -1395077253516857*a(n-6) +45768268601241258*a(n-7) -609878398576559366*a(n-8) -7449136036164827200*a(n-9) +316128274099296674375*a(n-10) -1710695534729160437500*a(n-11) -28926476414569301562500*a(n-12) +230953703156468750000000*a(n-13) -424812605952250000000000*a(n-14) for n>15

%e Some solutions for n=1

%e ..0..2..0..3..2. .0..0..5..5..2. .0..3..4..2..3. .1..4..2..1..3

%Y Cf. A269767.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 04 2016

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Last modified March 29 06:34 EDT 2024. Contains 371265 sequences. (Running on oeis4.)