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A155151
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Triangle read by rows: T(m, n) = 4mn + 2m + 2n + 2, where m is the row and n is the position in the row, for 1 <= n <= m.
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3
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10, 16, 26, 22, 36, 50, 28, 46, 64, 82, 34, 56, 78, 100, 122, 40, 66, 92, 118, 144, 170, 46, 76, 106, 136, 166, 196, 226, 52, 86, 120, 154, 188, 222, 256, 290, 58, 96, 134, 172, 210, 248, 286, 324, 362, 64, 106, 148, 190, 232, 274, 316, 358, 400, 442, 70, 116, 162
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OFFSET
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1,1
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COMMENTS
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First column: A016957, second column: A017341, third column: 2*A017029, fourth column: A082286. - Vincenzo Librandi, Nov 21 2012
Conjecture: Let p = prime number. If 2^p belongs to T(m, n) = 4*m*n + 2*m + 2*n + 2, then 2^p-1 is not a Mersenne prime. - Vincenzo Librandi, Dec 12 2012
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LINKS
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Vincenzo Librandi, Rows n = 1..100, flattened
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FORMULA
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T(m,n) = 2*A144650(m,n).
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EXAMPLE
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10;
16, 26;
22, 36, 50;
28, 46, 64, 82;
34, 56, 78, 100, 122;
40, 66, 92, 118, 144, 170;
46, 76, 106, 136, 166, 196, 226;
52, 86, 120, 154, 188, 222, 256, 290;
58, 96, 134, 172, 210, 248, 286, 324, 362;
64, 106, 148, 190, 232, 274, 316, 358, 400, 442; etc.
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MATHEMATICA
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t[n_, k_]:=4 n*k + 2n + 2k + 2; Table[t[n, k], {n, 11}, {k, n}]//Flatten (* Vincenzo Librandi, Nov 21 2012 *)
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PROG
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(MAGMA) [4*n*k + 2*n + 2*k + 2: k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 21 2012
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CROSSREFS
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Cf. A000668, A144650, A016957, A017341, A017029, A082286.
Sequence in context: A187397 A152138 A109100 * A155966 A104788 A036063
Adjacent sequences: A155148 A155149 A155150 * A155152 A155153 A155154
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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Vincenzo Librandi, Jan 21 2009
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EXTENSIONS
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Edited by Robert Hochberg, Jun 21 2010
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STATUS
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approved
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