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 A184203 Number of (n+1) X 6 binary arrays with no 2 X 2 subblock containing fewer than two 1's. 1

%I #7 May 08 2022 22:55:20

%S 1049,29593,721939,18588589,471487297,12021784217,306055720601,

%T 7795714368919,198537902186962,5056537169718019,128782273379145931,

%U 3279904522485716031,83534449921348607076,2127503372277866225041

%N Number of (n+1) X 6 binary arrays with no 2 X 2 subblock containing fewer than two 1's.

%C Column 5 of A184207.

%H R. H. Hardin, <a href="/A184203/b184203.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 26*a(n-1)+103*a(n-2)-3175*a(n-3)+843*a(n-4)+124668*a(n-5)-241004*a(n-6)-1741528*a(n-7)+4512428*a(n-8)+11666399*a(n-9)-36429185*a(n-10)-41916935*a(n-11)+161955426*a(n-12)+79119202*a(n-13)-435611222*a(n-14)-51541960*a(n-15)+738522868*a(n-16)-83869087*a(n-17)-800207178*a(n-18)+216307031*a(n-19)+552396475*a(n-20)-212199576*a(n-21)-239220431*a(n-22)+114209818*a(n-23)+63085385*a(n-24)-36259721*a(n-25)-9488703*a(n-26)+6873528*a(n-27)+671231*a(n-28)-762566*a(n-29)+22*a(n-30)+47026*a(n-31)-2787*a(n-32)-1453*a(n-33)+139*a(n-34)+17*a(n-35)-2*a(n-36).

%e Some solutions for 3 X 6

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

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

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

%Y Cf. A184207.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 10 2011

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Last modified September 9 10:46 EDT 2024. Contains 375764 sequences. (Running on oeis4.)