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 A270056 Number of nX6 0..4 arrays with some element plus some horizontally or vertically adjacent neighbor totalling four exactly once. 1

%I #4 Mar 09 2016 07:18:22

%S 6400,26891280,64599504300,130850370606120,243724207420143600,

%T 431802177781617762960,739963061540157663852060,

%U 1238271081977141318093293560,2035565501104551915702385538340

%N Number of nX6 0..4 arrays with some element plus some horizontally or vertically adjacent neighbor totalling four exactly once.

%C Column 6 of A270058.

%H R. H. Hardin, <a href="/A270056/b270056.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3820*a(n-1) -5141812*a(n-2) +3101631176*a(n-3) -1053325179812*a(n-4) +225930415991302*a(n-5) -32465460013961126*a(n-6) +3207851298752368554*a(n-7) -217580289808005247320*a(n-8) +9706372592807726300356*a(n-9) -240860672010312397879341*a(n-10) +115473715969373609881354*a(n-11) +212020581493432030950883197*a(n-12) -6862246606169040312770752410*a(n-13) +69977373438286287807082579927*a(n-14) +1240079187008116763603015457992*a(n-15) -46282001268519984080947125145024*a(n-16) +500401562102338128223713704959392*a(n-17) +318529972429762141211745078727216*a(n-18) -59633160184685032320235324860614016*a(n-19) +541188478996193175160548803121462848*a(n-20) -795703540248872440476678397698018432*a(n-21) -18690496956959404408797298248907914816*a(n-22) +150522035368938828426070273182800557568*a(n-23) -511422590153363523124456598370318521344*a(n-24) +826346567199579029883524578636954353664*a(n-25) -514087593143152142368253004618643603456*a(n-26) for n>27

%e Some solutions for n=1

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

%Y Cf. A270058.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 09 2016

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Last modified December 2 20:14 EST 2023. Contains 367526 sequences. (Running on oeis4.)