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A163674
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Triangle T(n,m) = 2*m*n + m + n + 9 read by rows.
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4
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13, 16, 21, 19, 26, 33, 22, 31, 40, 49, 25, 36, 47, 58, 69, 28, 41, 54, 67, 80, 93, 31, 46, 61, 76, 91, 106, 121, 34, 51, 68, 85, 102, 119, 136, 153, 37, 56, 75, 94, 113, 132, 151, 170, 189, 40, 61, 82, 103, 124, 145, 166, 187, 208, 229, 43, 66, 89, 112, 135, 158, 181
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OFFSET
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1,1
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COMMENTS
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2*T(m,n) - 17 =(2*n+1)*(2*m+1) and 2*T(n,n) - 17 is a square. Also:
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
13;
16, 21;
19, 26, 33;
22, 31, 40, 49;
25, 36, 47, 58, 69;
28, 41, 54, 67, 80, 93;
31, 46, 61, 76, 91, 106, 121;
34, 51, 68, 85, 102, 119, 136, 153;
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MATHEMATICA
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t[n_, k_]:=2 n*k + n + k + 9; Table[t[n, k], {n, 15}, {k, n}]//Flatten (* Vincenzo Librandi, Nov 20 2012 *)
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PROG
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(Magma) [2*n*k + n + k + 9: k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 20 2012
(PARI) for(n=1, 10, for(m=1, n, print1(2*m*n + m + n + 9, ", "))) \\ G. C. Greubel, Aug 02 2017
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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