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Search: id:A121294
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| A121294 |
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a(m^2) = m^3; a(m^2+k) = m^3 + km, 0 <= k <= m; a(m(m+1)) = (m+1)m^2; a(m(m+1)+k) = (m+1)m^2 + k(2m+1), 0 <= k <= m+1; a((m+1)^2) = (m+1)^3. |
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+0
2
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| 1, 2, 5, 8, 10, 12, 17, 22, 27, 30, 33, 36, 43, 50, 57, 64, 68, 72, 76, 80, 89, 98, 107, 116, 125
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Conjectured to be the maximal number of 1's in any (0,1)-matrix M such that M^2 is also a (0,1)-matrix - see A121231. Certainly this is a lower bound on that number.
For example, for m^2 x m^2 matrices one can obtain a(m^2) = m^3 using m^2 m x m matrices with one row of m of 1's and (m-1) rows of m of 0's.
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CROSSREFS
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Sequence in context: A072476 A078345 A080228 this_sequence A039770 A047618 A059551
Adjacent sequences: A121291 A121292 A121293 this_sequence A121295 A121296 A121297
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KEYWORD
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nonn
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AUTHOR
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Dan Dima (dimad72(AT)gmail.com), Aug 24 2006
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