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Search: id:A127095
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| 1, 2, 2, 3, 2, 3, 4, 4, 3, 4, 5, 4, 3, 4, 5, 6, 6, 6, 4, 5, 6, 7, 6, 6, 4, 5, 6, 7, 8, 8, 6, 8, 5, 6, 7, 8, 9, 8, 9, 8, 5, 6, 7, 8, 9, 10, 10, 9, 8, 10, 6, 7, 8, 9, 10, 11, 10, 9, 8, 10, 6, 7, 8, 9, 10, 11, 12, 12, 12, 12, 10, 12, 7, 8, 9, 10, 11, 12, 13, 12, 12, 12, 10, 12, 7, 8, 9, 10, 11, 12, 13, 14
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Consider A000012 as a lower-left all-1 triangle, and build the matrix product
by multiplication with A127093 from the right.
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FORMULA
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T(n,m) = sum_{j=m..n} A000012(n,j)*A127093(j,m) = sum_{j=m..n} A127093(j,m) = m*floor(n/m) = m*A010766(n,m).
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EXAMPLE
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First few rows of the triangle are:
1;
2, 2;
3, 2, 3;
4, 4, 3, 4;
5, 4, 3, 4, 5;
6, 6, 6, 4, 5, 6;
7, 6, 6, 4, 5, 6, 7;
...
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CROSSREFS
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Cf. A024916 (row sums), A127093, A127094, A127096, A127097, A127098, A127099, A038040, A000203, A126988, A127013, A127057.
Sequence in context: A069352 A073453 A123229 this_sequence A074712 A087735 A106250
Adjacent sequences: A127092 A127093 A127094 this_sequence A127096 A127097 A127098
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 05 2007
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EXTENSIONS
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Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 18 2009
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