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A194931
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T(n,k)=Number of lower triangles of an nXn 0..k array with no element differing from any of its horizontal or vertical neighbors by more than one
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12
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..186
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FORMULA
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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
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CROSSREFS
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Sequence in context: A161198 A195232 A093898 * A195248 A202651 A084110
Adjacent sequences: A194928 A194929 A194930 * A194932 A194933 A194934
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Sep 05 2011
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STATUS
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approved
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