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Search: id:A140168
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| A140168 |
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Triangle read by rows, iterates of X * [1,0,0,0,...]; where X = an infinite bidiagonal matrix with [2, -1, 2, -1, 2,...] in the main diagonal, [1, 1, 1,...] in the subdiagonal and rest zeros. |
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+0
2
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| 1, 2, 1, 4, 1, 1, 8, 3, 3, 1, 16, 5, 9, 2, 1, 32, 11, 23, 7, 4, 1, 64, 21, 57, 16, 15, 3, 1, 128, 43, 135, 41, 46, 12, 5, 1, 256, 85, 313, 94, 133, 34, 22, 4, 1, 512, 171, 711, 219, 360, 99, 78, 18, 6, 1, 1024, 341, 1593, 492, 939, 261, 255, 60, 30, 5, 1, 2048, 683, 3527, 1101
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = A105476 starting (1, 3, 6, 15, 33, 78, 177,...).
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FORMULA
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Triangle read by rows, iterates of X * [1,0,0,0,...]; where X = an infinite bidiagonal matrix with [2, -1, 2, -1, 2,...] in the main diagonal, [1, 1, 1,...] in the subdiagonal and rest zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
4, 1, 1;
8, 3, 3, 1;
16, 5, 9, 2, 1;
32, 11, 23, 7, 4, 1;
64, 21, 57, 16, 15, 3, 1;
128, 43, 135, 41, 46, 12, 5, 1;
256, 85, 313, 94, 133, 34, 22, 4, 1;
512, 171, 711, 219, 360, 99, 78, 18, 6, 1;
...
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CROSSREFS
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Cf. A105476.
Sequence in context: A117352 A137710 A068009 this_sequence A059119 A127772 A086256
Adjacent sequences: A140165 A140166 A140167 this_sequence A140169 A140170 A140171
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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), May 10 2008
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