Revision History for A241010
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Showing entries 1-10
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| A241010
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Numbers n with the property that the number of parts in the symmetric representation of sigma(n) is odd, and that all parts have width 1.
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published version)
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#72 by N. J. A. Sloane at Fri Sep 28 23:24:45 EDT 2018
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#71 by Jon E. Schoenfield at Tue Sep 04 21:24:43 EDT 2018
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#70 by Jon E. Schoenfield at Tue Sep 04 21:24:40 EDT 2018
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n = 3^(2*h) = 9^h = A001019(h), h>=0, is the smallest number for which the symmetric representation of sigma(n) has 2*h+1 regions of width one, for example for h = 1, 2, 3 and 5, but not for h = 4 in which case 3025 = 5^2 * 11^2 < 3^8 = 6561 is the smallest (see A318843). ). [Comment corrected by Hartmut F. W. Hoft, Sep 04 2018]
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#69 by Omar E. Pol at Tue Sep 04 13:49:43 EDT 2018
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#68 by Omar E. Pol at Tue Sep 04 13:49:27 EDT 2018
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n = 3^(2*h) = 9^h = A001019(h), h>=0, is the smallest number for which the symmetric representation of sigma(n) has 2*h+1 regions of width one, for example for h = 1, 2, 3 and 5, but not for h = 4 in which case 3025 = 5^2 * 11^2 < 3^8 = 6561 is the smallest (see A318843).). Comment corrected by _Hartmut F. W. Hoft_, Sep 04 2018
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More terms and further edited by Hartmut F. W. Hoft, Jun 26 2015 and Jul 02 2015 and corrected Oct 11 2015; comment corrected Sep 04 2018.
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Discussion
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| Tue Sep 04
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| Omar E. Pol: Minor edits.
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#67 by Hartmut F. W. Hoft at Tue Sep 04 13:45:30 EDT 2018
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#66 by Hartmut F. W. Hoft at Tue Sep 04 13:45:24 EDT 2018
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n = 3^(2*h) = 9^h = A001019(h), h>=0, is the smallest number for which the symmetric representation of sigma(n) has 2*h+1 regions of width one., for example for h = 1, 2, 3 and 5, but not for h = 4 in which case 3025 = 5^2 * 11^2 < 3^8 = 6561 is the smallest (see A318843).
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Cf. A318843
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More terms and further edited by Hartmut F. W. Hoft, Jun 26 2015 and Jul 02 2015 and corrected Oct 11 2015; comment corrected Sep 04 2018.
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approved
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#65 by N. J. A. Sloane at Fri Jan 06 08:29:03 EST 2017
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#64 by N. J. A. Sloane at Fri Jan 06 08:29:00 EST 2017
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The first eight entries in A071562 A241562, but not in this sequence, are 6, 12, 15, 18, 20, 24, 28 & 30.
The first eight entries in A238443, but not in this sequence, are 6, 12, 18, 20, 24, 28, 30 & 36.
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Cf. A000203, A174905, A236104, A237270 (symmetric representation of sigma(n)), A237271, A237593, A238443, A241008, A241562A071562, A246955, A247687, A250068, A250070, A250071.
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#63 by N. J. A. Sloane at Sat Oct 24 12:10:02 EDT 2015
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