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 A194540 T(n,k)=Number of lower triangles of an n X n 0..k array with new values introduced in row major order 0..k and no element equal to more than one horizontal or vertical neighbor 8
 1, 1, 3, 1, 4, 6, 1, 4, 59, 12, 1, 4, 116, 1851, 23, 1, 4, 131, 16556, 119548, 43, 1, 4, 132, 43785, 7721920, 16039294, 79, 1, 4, 132, 62038, 79201795, 11525456507, 4460214471, 143, 1, 4, 132, 67377, 286773762, 627974590650, 54979732214116, 2572187445993 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ...1.............1..................1......................1 ...3.............4..................4......................4 ...6............59................116....................131 ..12..........1851..............16556..................43785 ..23........119548............7721920...............79201795 ..43......16039294........11525456507...........627974590650 ..79....4460214471.....54979732214116......21399815343394998 .143.2572187445993.838387866908847478.3132305932642809585983 LINKS R. H. Hardin, Table of n, a(n) for n = 1..86 EXAMPLE Some solutions for n=4 k=3 ..0........0........0........0........0........0........0........0 ..1.2......1.0......1.0......1.0......0.1......1.2......1.0......1.2 ..3.1.1....0.1.0....2.0.3....2.3.1....2.3.0....1.3.3....2.3.3....0.3.1 ..2.3.2.0..2.1.3.1..2.1.0.1..1.0.3.2..3.0.3.1..3.1.1.2..0.2.2.0..2.1.2.1 CROSSREFS Column 1 is A055244 Sequence in context: A051203 A243553 A286159 * A193043 A086271 A080851 Adjacent sequences:  A194537 A194538 A194539 * A194541 A194542 A194543 KEYWORD nonn,tabl AUTHOR R. H. Hardin Aug 28 2011 STATUS approved

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Last modified November 13 19:25 EST 2018. Contains 317149 sequences. (Running on oeis4.)