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Search: id:A124572
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| A124572 |
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Sequence generated from a bidiagonal matrix, row sums = powers of 4. |
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+0
2
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| 1, 1, 3, 1, 12, 3, 1, 39, 15, 9, 1, 120, 54, 72, 9, 1, 363, 174, 378, 81, 27, 1, 1092, 537, 1656, 459, 324, 27, 1, 3279, 1629, 6579, 2115, 2349, 351, 81
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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Diagonal terms are switched to generate A124573. Row sums = powers of 4.
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FORMULA
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As an infinite lower triangular matrix, A124572 = M^n * V, where M = the infinite bidiagonal matrix with (1,3,1,3,1,3...) in the main diagonal, and (3,1,3,1,3,1...) in the subdiagonal.
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EXAMPLE
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Row 3 = (1, 39, 15, 9) since M^3 * V = (1, 39, 15, 9, 0, 0, 0...). First few rows of the triangle are:
1;
1, 3;
1, 12, 3;
1, 39, 15, 9;
1, 120, 54, 72, 9;
1, 363, 174, 378, 81, 27;
...
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CROSSREFS
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Cf. A124573.
Sequence in context: A002589 A048522 A118020 this_sequence A121420 A117375 A122844
Adjacent sequences: A124569 A124570 A124571 this_sequence A124573 A124574 A124575
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KEYWORD
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nonn,uned,tabl,more
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AUTHOR
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Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Nov 04 2006
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