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%I #4 Mar 06 2016 20:04:26
%S 450,250992,68182800,16086672048,3515869538472,733651366146384,
%T 148379658813705408,29341273207567527696,5704253667242854759944,
%U 1094320479883646430148656,207706999065060545864115696
%N Number of nX4 0..5 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling five exactly once.
%C Column 4 of A269888.
%H R. H. Hardin, <a href="/A269884/b269884.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 368*a(n-1) -37288*a(n-2) +513442*a(n-3) +19092162*a(n-4) -254746126*a(n-5) -4066323311*a(n-6) +31942950742*a(n-7) +306047150257*a(n-8) -1927227291934*a(n-9) -7298557273657*a(n-10) +52839733207460*a(n-11) -28821368827523*a(n-12) -241886001630920*a(n-13) +270713507877698*a(n-14) +478033822869814*a(n-15) -657675252228668*a(n-16) -495253464276818*a(n-17) +742330071209191*a(n-18) +285148670602762*a(n-19) -417256965071135*a(n-20) -91541370898138*a(n-21) +107835765439291*a(n-22) +15600180936884*a(n-23) -10267371310148*a(n-24) -1125910701408*a(n-25) +20603204284*a(n-26) +2599341920*a(n-27) -58369600*a(n-28) for n>29
%e Some solutions for n=1
%e ..4..1..0..3. .2..1..4..5. .5..0..1..1. .1..1..0..5. .4..1..5..5
%Y Cf. A269888.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 06 2016
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