Partitioning the positive integers with higher order recurrences
Associated with any irrational number α>1 and the function g(n)=[αn+12] is an array {s(i,j)} of positive integers defined inductively as follows: s(1,1)=1, s(1,j)=g(s(1,j−1)) for all j≥2, s(i,1)= the least positive integer not among s(h,j) for h≤i−1 for i≥2, and s(i,j)=g(s(i,j−1)) for j≥2. This w...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171291000625 |