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 A194931 T(n,k)=Number of lower triangles of an n X n 0..k array with no element differing from any of its horizontal or vertical neighbors by more than one 12
 2, 3, 8, 4, 17, 64, 5, 26, 217, 1024, 6, 35, 386, 5873, 32768, 7, 44, 557, 12474, 344091, 2097152, 8, 53, 728, 19379, 882318, 43337009, 268435456, 9, 62, 899, 26316, 1481501, 136403494, 11761200209, 68719476736, 10, 71, 1070, 33255, 2089736, 248381815 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...........2.............3..............4..............5...............6 ...........8............17.............26.............35..............44 ..........64...........217............386............557.............728 ........1024..........5873..........12474..........19379...........26316 .......32768........344091.........882318........1481501.........2089736 .....2097152......43337009......136403494......248381815.......364130672 ...268435456...11761200209....46128809462....91397735301....139323386328 .68719476736.6872287575297.34125388757746.73818960495633.117075649276412 LINKS R. H. Hardin, Table of n, a(n) for n = 1..186 FORMULA Empirical for rows: T(1,k) = 1*k + 1 T(2,k) = 9*k - 1 T(3,k) = 171*k - 127 for k>2 T(4,k) = 6939*k - 8379 for k>4 T(5,k) = 609309*k - 956877 for k>6 T(6,k) = 116330103*k - 217580911 for k>8 T(7,k) = 48439766655*k - 102944165347 for k>10 Generalizing, T(n,k) = A141441(n)*k + const(n), for k>2*n-4 CROSSREFS Sequence in context: A161198 A195232 A093898 * A195248 A229870 A202651 Adjacent sequences:  A194928 A194929 A194930 * A194932 A194933 A194934 KEYWORD nonn,tabl AUTHOR R. H. Hardin Sep 05 2011 STATUS approved

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Last modified August 7 23:16 EDT 2022. Contains 355995 sequences. (Running on oeis4.)