Revision History for A345715
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| A345715
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Lexicographically earliest sequence of distinct positive terms such that the English names of the entries form a new sequence of English names where every original entry is doubled (repetitions allowed, see the Comments section).
(history;
published version)
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#8 by N. J. A. Sloane at Wed Jun 30 16:06:41 EDT 2021
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#7 by Eric Angelini at Mon Jun 28 09:56:12 EDT 2021
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#6 by Eric Angelini at Mon Jun 28 09:56:00 EDT 2021
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Discussion
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| Mon Jun 28
| 09:56
| Eric Angelini: Voilà!
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#5 by Eric Angelini at Mon Jun 28 09:01:46 EDT 2021
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Discussion
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| Mon Jun 28
| 09:34
| Michel Marcus: typo: A3457112
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#4 by Eric Angelini at Mon Jun 28 09:00:06 EDT 2021
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| COMMENTS
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We are allowed to takeuse the same letter many times (like the 4th one, E, for instance) to form a new name. The sequence A345711 forbids such repetitions.
No obvious pattern appears in the sequence, although the set of names repetitionsis processlimited.
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#3 by Eric Angelini at Mon Jun 28 08:57:40 EDT 2021
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| DATA
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5, 10, 20, 5, 9, 4, 7, 5, 13, 1, 23, 25, 5, 13, 5, 4, 7, 4, 2, 119, 800, 5, 4, 4, 7, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 4, 4, 7, 5, 4, 7, 5, 9, 4, 7, 5, 13, 26, 2, 179, 5, 9, 23, 1, 23, 25, 5, 13, 26, 2, 179, 1, 2, 1, 5, 13, 5, 4, 7, 5, 9, 4, 7, 5, 13, 26, 2, 179, 5, 4, 7, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 4, 4, 7, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 9, 23, 36, 24, 7, 105, 25, 4, 105, 5, 36, 2, 25, 5, 13, 4, 307, 119, 36, 5, 23, 7, 4, 5, 36, 23, 24, 26, 935, 1000, 105, 26, 2, 179, 36, 425, 7, 105, 25, 4, 105, 5, 4, 7, 4, 2, 119, 36, 5, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 4, 4, 7, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 9, 23, 36, 24, 7, 105, 25, 4, 105, 5, 36, 2, 25, 5, 13, 4, 2, 119, 36, 5, 26, 4, 3, 4, 7
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| COMMENTS
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If we now take the 5th letter of the above English sequence (T), the 10th (E) and the 20th (N) we spell T.E.N. and 10 is the double of a(1) = 5. We then take again the 5th letter of the sequence (T), the 9th (W), the 4th (E), the 7th (N), the 5th again (T), the 13th (Y) to form T.W.E.N.T.Y. and 20 is the double of a(2) = 10. Etc. We are allowed to take the same letter (the 5th one, E, for instance) to form a new name. The sequence A345711 forbids such repetitions.
We are allowed to take the same letter (the 4th one, E, for instance) to form a new name. The sequence A345711 forbids such repetitions.
No obvious pattern appears in the repetitions process.
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#2 by Eric Angelini at Mon Jun 28 08:54:58 EDT 2021
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| NAME
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allocatedLexicographically earliest sequence of distinct positive terms such that the English names of the entries form a new sequence of English names where every original entry is doubled (repetitions allowed, see forthe EricComments Angelinisection).
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| DATA
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5, 10, 20, 5, 9, 4, 7, 5, 13, 1, 23, 25, 5, 13, 5, 4, 7, 4, 2, 119, 800, 5, 4, 4, 7, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 4, 4, 7, 5, 4, 7, 5, 9, 4, 7, 5, 13, 26, 2, 179, 5, 9, 23, 1, 23, 25, 5, 13, 26, 2, 179, 1, 2, 1, 5, 13, 5, 4, 7, 5, 9, 4, 7, 5, 13, 26, 2, 179, 5, 4, 7, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 4, 4, 7, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 9, 23, 36, 24, 7, 105, 25, 4, 105, 5, 36, 2, 25, 5, 13, 4, 307, 119, 36, 5, 23, 7, 4, 5, 36, 23, 24, 26, 935, 1000, 105, 26, 2, 179, 36, 425, 7, 105, 25, 4, 105, 5, 4, 7, 4, 2, 119, 36, 5, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 4, 4, 7, 4, 2, 119, 36, 5, 1, 23, 24, 25, 5, 9, 23, 36, 24, 7, 105, 25, 4, 105, 5, 36, 2, 25, 5, 13, 4, 2, 119, 36, 5, 26, 4, 3, 4, 7
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| OFFSET
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1,1
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| COMMENTS
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The first English names of the sequence are:
FIVE, TEN, TWENTY, FIVE, NINE, FOUR, SEVEN, FIVE, THIRTEEN, ONE, TWENTY-THREE, TWENTY-FIVE, FIVE, THIRTEEN, FIVE, FOUR, SEVEN, FOUR, TWO, ONE HUNDRED NINETEEN, EIGHT HUNDRED, FIVE, FOUR, FOUR, ...
If we now take the 5th letter of the above English sequence (T), the 10th (E) and the 20th (N) we spell T.E.N. and 10 is the double of a(1) = 5. We then take again the 5th letter of the sequence (T), the 9th (W), the 4th (E), the 7th (N), the 5th again (T), the 13th (Y) to form T.W.E.N.T.Y. and 20 is the double of a(2) = 10. Etc. We are allowed to take the same letter (the 5th one, E, for instance) to form a new name. The sequence A345711 forbids such repetitions
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| CROSSREFS
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Cf. A131744, A345711, A3457112, A345713, A345714.
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| KEYWORD
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allocated
nonn,word
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| AUTHOR
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Eric Angelini and Carole Dubois, Jun 28 2021
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| STATUS
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approved
editing
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#1 by Eric Angelini at Thu Jun 24 17:05:24 EDT 2021
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| NAME
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allocated for Eric Angelini
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| KEYWORD
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allocated
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| STATUS
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approved
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