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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A181242 Number of nX7 binary matrices with no 2X2 circuit having pattern 0101 in any orientation.

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%I A181242 #5 Jul 22 2025 08:38:36
%S A181242 128,8042,546410,36806846,2481942354,167341334542,11282914491066,
%T A181242 760744103230314,51292751478532550,3458385370907981754,
%U A181242 233179719922207016438,15722013576638868003178,1060048065098345660585310
%N A181242 Number of nX7 binary matrices with no 2X2 circuit having pattern 0101 in any orientation.
%C A181242 Column 7 of A181245
%H A181242 R. H. Hardin, <a href="/A181242/b181242.txt">Table of n, a(n) for n=1..200</a>
%F A181242 Empirical: a(n)=77*a(n-1)-429*a(n-2)-16791*a(n-3)+132938*a(n-4)+1140609*a(n-5)-11250708*a(n-6)-21101443*a(n-7)+356560316*a(n-8)-276630106*a(n-9)-3595865197*a(n-10)+5253257444*a(n-11)+16399879057*a(n-12)-30419637636*a(n-13)-37486637674*a(n-14)+87632998667*a(n-15)+40083109062*a(n-16)-140235056122*a(n-17)-7589163210*a(n-18)+128111780723*a(n-19)-23221600421*a(n-20)-65939015129*a(n-21)+21868944788*a(n-22)+18307048178*a(n-23)-8259596531*a(n-24)-2431120428*a(n-25)+1497147381*a(n-26)+85285300*a(n-27)-123174410*a(n-28)+8581030*a(n-29)+3300116*a(n-30)-512304*a(n-31)+18304*a(n-32)
%K A181242 nonn
%O A181242 1,1
%A A181242 _R. H. Hardin_ Oct 10 2010