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 A069294 Number of n X 3 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column. 27
 12, 110, 926, 7556, 60920, 488860, 3915640, 31340216, 250769592, 2006308480, 16050948896, 128409116176, 1027277763840, 8218237436320, 65745948074080, 525967738606656, 4207742397091072, 33661940724484800, 269295530702399616 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS G. C. Greubel, Table of n, a(n) for n = 2..1001 Index entries for linear recurrences with constant coefficients, signature (12,-34,14,16). FORMULA G.f.: 2*x^2*(6-17*x+7*x^2+8*x^3)/(1-8*x)/(2*x^3+2*x^2-4*x+1). - Vladeta Jovovic, Jul 02 2003 MATHEMATICA LinearRecurrence[{12, -34, 14, 16}, {12, 110, 926, 7556}, 50] (* G. C. Greubel, Apr 22 2018 *) PROG (PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; 16, 14, -34, 12]^(n-2)*[12; 110; 926; 7556])[1, 1] \\ Charles R Greathouse IV, May 10 2016 (PARI) x='x+O('x^30); Vec(2*x^2*(6-17*x+7*x^2+8*x^3)/((1-8*x)*(2*x^3 +2*x^2-4*x+1))) \\ G. C. Greubel, Apr 22 2018 (MAGMA) I:=[12, 110, 926, 7556]; [n le 4 select I[n] else 12*Self(n-1) - 34*Self(n-2) +14*Self(n-3) + 16*Self(n-4): n in [1..30]]; // G. C. Greubel, Apr 22 2018 CROSSREFS Cf. n X 2 A002450, n X 4 A069295, n X 5 A069296, n X 6 A069297, n X 7 A069298, n X 8 A069299, n X 9 A069300, n X 10 A069301, n X 11 A069302, n X 12 A069303, n X 13 A069304, n X 14 A069305, read by rows A069306-A069320. Sequence in context: A037581 A177071 A081183 * A000559 A037714 A037616 Adjacent sequences:  A069291 A069292 A069293 * A069295 A069296 A069297 KEYWORD nonn,easy AUTHOR R. H. Hardin, Mar 14 2002 STATUS approved

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Last modified October 14 07:31 EDT 2019. Contains 327995 sequences. (Running on oeis4.)