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A114535
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Numbers n that can be represented as (m+1)^k-m^k at least in 3 ways, with k,m>0.
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0
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OFFSET
| 1,2
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COMMENTS
| The decompositions for 1 are infinite and trivial, obtained letting k=1 and m arbitrary. The representations for the other entries are: 127 = 64^2-63^2 = 7^3-6^3 = 2^7-1^7, 3367 = 1684^2-1683^2 = 34^3-33^3 = 4^6-3^6, 14911 = 7456^2-7455^2 = 71^3-70^3 = 16^4-15^4. Apparently there are no other solutions for n<10^9.
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EXAMPLE
| 127 = 64^2-63^2 = 7^3-6^3 = 2^7-1^7.
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CROSSREFS
| Cf. A115783.
Sequence in context: A024005 A008398 A144969 * A176357 A201071 A137789
Adjacent sequences: A114532 A114533 A114534 * A114536 A114537 A114538
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KEYWORD
| hard,more,nonn
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AUTHOR
| Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 15 2006
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