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.
%I A089938 #11 Jun 06 2017 04:20:32
%S A089938 34,577,10897,200798,3729091,69050253,1280128950,23720149995,
%T A089938 439621976195,8147000813446,150985649174085,2798109826697003,
%U A089938 51855860689753372,961012671564107667,17809889025037476097,330060028036299469334,6116807668464485142495
%N A089938 Number of 7 X n matrices with entries {0,1} without adjacent 0's in any row or column. 7th row of A089934.
%C A089938 Row/columns 1 through 7 are A000045, A001333, A051736, A051737, A089936, A089937, A089938.
%C A089938 Number of independent vertex sets in the grid graph P_7 X P_n. - _Andrew Howroyd_, Jun 06 2017
%H A089938 Andrew Howroyd, <a href="/A089938/b089938.txt">Table of n, a(n) for n = 1..200</a>
%F A089938 O.g.f.: - (X - 1)*(X^19 + 10*X^18 - 58*X^17 - 576*X^16 + 651*X^15 + 8054*X^14 - 5381*X^13 - 42910*X^12 + 32530*X^11 + 90357*X^10 - 90813*X^9 - 52366*X^8 + 79558*X^7 - 8263*X^6 - 13918*X^5 + 2501*X^4 + 894*X^3 - 94*X^2 - 26*X - 1)/(X^21 + 9*X^20 - 87*X^19 - 546*X^18 + 2227*X^17 + 9369*X^16 - 25564*X^15 - 54187*X^14 + 139011*X^13 + 100779*X^12 - 340142*X^11 + 21372*X^10 + 308107*X^9 - 127405*X^8 - 82823*X^7 + 48558*X^6 + 6975*X^5 - 5659*X^4 - 210*X^3 + 203*X^2 + 9*X - 1)
%Y A089938 Cf. A000045, A001333, A051736, A051737, A089936, A089937, A089934.
%K A089938 nonn
%O A089938 1,1
%A A089938 _Marc LeBrun_, Nov 15 2003
%E A089938 Terms a(16) and beyond from _Andrew Howroyd_, Jun 06 2017