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Search: id:A131816
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| A131816 |
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Triangle read by rows: A130321 + A059268 - A000012 as infinite lower triangular matrices, where A130321 = (1; 2,1; 4,2,1;...), A059268 = (1; 1,2; 1,2,4;...) and A000012 = (1; 1,1; 1,1,1;...). |
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+0
3
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| 1, 2, 2, 4, 3, 4, 8, 5, 5, 8, 16, 9, 7, 9, 16, 32, 17, 11, 11, 17, 32, 64, 33, 19, 15, 19, 33, 64, 128, 65, 35, 23, 23, 35, 65, 128, 256, 129, 67, 39, 31, 39, 67, 129, 256, 512, 257, 131, 71, 47, 47, 71, 131, 257, 512, 1024, 513, 259, 135, 79, 63, 79, 135, 259, 513, 1024
(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 = A000295: (1, 4, 11, 26, 57, 120,...).
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FORMULA
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Alternatively, t(n,m)=((2^(m + 1) - 1) + (2^(n - m + 1) - 1))/2. - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Oct 16 2008
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EXAMPLE
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First few rows of the triangle are:
1;
2, 2;
4, 3, 4;
8, 5, 5, 8;
16, 9, 7, 9, 16;
32, 17, 11, 11, 17, 32;
64, 33, 19, 15, 19, 33, 64;
128, 65, 35, 23, 23, 35, 65, 128;
...
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MATHEMATICA
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Table[Table[((2^(m + 1) - 1) + (2^(n - m + 1) - 1))/2, {m, 0, n}], {n, 0, 10}]; Flatten[%] - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Oct 16 2008
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CROSSREFS
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Cf. A130321, A059268, A000012, A000295.
Sequence in context: A109168 A015134 A079707 this_sequence A128181 A125185 A133438
Adjacent sequences: A131813 A131814 A131815 this_sequence A131817 A131818 A131819
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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), Jul 18 2007
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 01 2008 at the suggestion of R. J. Mathar
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