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 A058482 #22 Mar 18 2024 16:47:08 %S A058482 1,25,265,2161,16081,115465,816985,5745121,40294561,282298105, %T A058482 1976795305,13839692881,96884227441,678208723945,4747518463225, %U A058482 33232801429441,232630126566721,1628412435648985,11398891698588745,79792255837258801,558545832702224401 %N A058482 Number of 3 X n binary matrices with no zero rows or columns. %H A058482 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (11,-31,21). %F A058482 Number of m X n binary matrices with no zero rows or columns is Sum_{j=0..m}(-1)^j*C(m, j)*(2^(m-j)-1)^n. %F A058482 a(n) = 7^n-3*3^n+3. %F A058482 a(n) = 11*a(n-1)-31*a(n-2)+21*a(n-3). G.f.: -x*(21*x^2+14*x+1) / ((x-1)*(3*x-1)*(7*x-1)). - _Colin Barker_, Jul 10 2013 %t A058482 LinearRecurrence[{11,-31,21},{1,25,265},30] (* _Harvey P. Dale_, Aug 15 2014 *) %o A058482 (PARI) a(n) = 7^n-3*3^n+3 \\ _Charles R Greathouse IV_, Feb 10 2017 %Y A058482 Cf. A055602, A024206, A055609 (unlabeled case), A058481, column 3 of A183109 and A218695. %K A058482 easy,nonn,nice %O A058482 1,2 %A A058482 _Vladeta Jovovic_, Nov 26 2000 %E A058482 More terms from Larry Reeves (larryr(AT)acm.org), Dec 04 2000 %E A058482 More terms from _Colin Barker_, Jul 10 2013