Revisions by Bert Dobbelaere
(See also Bert Dobbelaere's wiki page)
(Underlined text is an addition;
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Showing entries 1-10
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A374090
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a(n) is the smallest nonnegative integer k where exactly n ordered pairs of positive integers (x, y) exist such that x^2 + x*y + y^2 = k.
(history;
published version)
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#63 by Bert Dobbelaere at Sun Jun 30 04:08:31 EDT 2024
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Discussion
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Sun Jun 30
| 04:16
| David A. Corneth: I see. I mean at A003136 he has 6*Prod_{i=... instead of 2*such product
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| 04:19
| David A. Corneth: And for a(26), I see just gave f(26) instead of min(f(26),f(27))
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#62 by Bert Dobbelaere at Sun Jun 30 04:08:07 EDT 2024
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a(n) is the smallest nonnegative k such that A374088(k) = n.From _Chai Wah Wu_, Jun 28 2024: (Start)
From Chai Wah Wu, Jun 28 2024: (Start)
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proposed
editing
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#61 by Bert Dobbelaere at Sun Jun 30 04:06:56 EDT 2024
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#60 by Bert Dobbelaere at Sun Jun 30 03:59:29 EDT 2024
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0, 3, 7, 147, 91, 7203, 637, 352947, 1729, 24843, 31213, 847425747, 12103, 41523861603, 405769, 1217307, 53599, 99698791708803, 157339, 4885240793731347, 593047, 59648043
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a(n) is the smallest nonnegative k such that A374088(k) = n.From _Chai Wah Wu_, Jun 28 2024: (Start)
a(20) = 593047.
a(21) = 59648043.
From Chai Wah Wu, Jun 28 2024: (Start)
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a(19) from Bert Dobbelaere, Jun 30 2024
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proposed
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#27 by Bert Dobbelaere at Fri Jun 28 17:39:26 EDT 2024
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#26 by Bert Dobbelaere at Fri Jun 28 17:37:02 EDT 2024
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a(n) is the smallest nonnegative k such that A374088(k) = n.a(20) = 593047.
a(20) = 593047.
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Discussion
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Fri Jun 28
| 17:39
| Bert Dobbelaere: Seems David's prediction was correct
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#25 by Bert Dobbelaere at Fri Jun 28 17:36:16 EDT 2024
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0, 3, 7, 147, 91, 7203, 637, 352947, 1729, 24843, 31213, 847425747, 12103, 41523861603, 405769, 1217307, 53599, 99698791708803, 157339
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a(n) is the smallest nonnegative k such that A374088(k) = n.a(20) = 593047.
a(18) = 157339.
a(20) = 593047.
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a(17) from Bert Dobbelaere, Jun 28 2024
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proposed
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#17 by Bert Dobbelaere at Wed Jun 26 18:07:29 EDT 2024
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#16 by Bert Dobbelaere at Wed Jun 26 18:07:11 EDT 2024
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1, 3, 3, 10, 12, 35, 58, 160, 341, 958, 2444, 7242, 21190, 67217, 217335, 740542, 2593802, 9444080, 35383843
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a(18)-a(21) from Bert Dobbelaere, Jun 26 2024
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approved
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A232086
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Third root of n contains n as a string of digits to the immediate right of the decimal point (excluding leading zeros).
(history;
published version)
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#19 by Bert Dobbelaere at Sun Jun 23 15:52:33 EDT 2024
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