A295272 - OEIS

%I #4 Nov 19 2017 08:16:05

%S 24,291,4035,54773,748740,10203847,139221499,1898916677,25902054180,

%T 353312300646,4819296560043,65736776328102,896671271822835,

%U 12230890096966674,166833355609514988,2275661718111926504

%N Number of nX5 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 4 1s.

%C Column 5 of A295275.

%H R. H. Hardin, <a href="/A295272/b295272.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +84*a(n-2) +421*a(n-3) +716*a(n-4) -1544*a(n-5) -7895*a(n-6) -11069*a(n-7) +23659*a(n-8) +46894*a(n-9) -28597*a(n-10) -25649*a(n-11) -112201*a(n-12) +282924*a(n-13) -604659*a(n-14) +1353567*a(n-15) -2132282*a(n-16) +2688487*a(n-17) -2990791*a(n-18) +2796525*a(n-19) -2113112*a(n-20) +1443409*a(n-21) -944144*a(n-22) +464982*a(n-23) -217099*a(n-24) +125161*a(n-25) -1805*a(n-26) -32202*a(n-27) +26125*a(n-28) -18772*a(n-29) -1914*a(n-30) -838*a(n-31) +1685*a(n-32) +2105*a(n-33) -329*a(n-34) -147*a(n-35) -176*a(n-36) +64*a(n-37) +7*a(n-38) +a(n-39) -a(n-40)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A295275.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 19 2017