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Search: id:A135387
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| A135387 |
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Triangle read by rows, with (2, 1, 0, 0, 0,...) in every column. |
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+0
4
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| 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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Let the triangle = M, then M^n * [1, 1, 0, 0, 0,...] generates rows of triangle A118800. M^n * [1, 0, 0, 0,...] generates rows of triangle A038207.
Eigensequence of the triangle = the Pell numbers, A000129: (1, 2, 5, 12, 29,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]
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FORMULA
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Triangle by columns (2, 1, 0, 0, 0, 0, 0,...) in every column. By rows, (n-2) zeros followed by 1, 2.
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EXAMPLE
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First few rows of the triangle are:
2;
1, 2
0, 1, 2;
0, 0, 1, 2;
0, 0, 0, 1, 2;
0, 0, 0, 0, 1, 2;
...
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CROSSREFS
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Cf. A118800, A038207.
A000129 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2008]
Sequence in context: A027414 A140083 A057985 this_sequence A127442 A115628 A114002
Adjacent sequences: A135384 A135385 A135386 this_sequence A135388 A135389 A135390
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 09 2007
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