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A124731
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Triangle, row sums = powers of 3, companion to A124730.
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3
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1, 2, 1, 4, 3, 2, 8, 7, 10, 2, 16, 15, 34, 12, 4, 32, 31, 98, 46, 32, 4, 64, 63, 258, 144, 156, 36, 8, 128, 127, 642, 402, 600, 192, 88, 8, 256, 255, 1538, 1044, 2004, 792, 560, 96, 16
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| In A124730, the diagonals are switched. Row sums are powers of 3 in both triangles.
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FORMULA
| Let M = the infinite bidiagonal matrix with (2,1,2,1...) in the main diagonal and (1,2,1,2...) in the subdiagonal. Extracting finite n X n matrices of this form, we take M^n * [1,0,0,0...].
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EXAMPLE
| Row 2 = (4, 3, 2) since (using the 3 X 3 matrix m = [2,0,0; 1,1,0; 0,2,2]), m^2 * [1,0,0] = [4,3,2].
First few rows of the triangle are:
1;
2, 1;
4, 3, 2;
8, 7, 10, 2;
16, 15, 34, 12, 4;
32, 31, 98, 46, 32, 4;
64, 63, 258, 144, 156, 36, 8;
...
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CROSSREFS
| Cf. A124730, A124732.
Sequence in context: A144333 A126136 A140169 * A143122 A093067 A098122
Adjacent sequences: A124728 A124729 A124730 * A124732 A124733 A124734
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Nov 05 2006
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