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A319032 Length of segments delimited by the letter "u" when the sequence is spelled out in French. 0
1, 6, 8, 5, 8, 9, 3, 8, 5, 9, 8, 5, 8, 9, 3, 9, 3, 8, 9, 3, 8, 5, 9, 8, 5, 9, 8, 5, 8, 5, 9, 8, 5, 8, 9, 3, 9, 3, 8, 9, 3, 9, 3, 8, 9, 3, 8, 9, 3, 9, 3, 8, 9, 3, 8, 5, 9, 8, 5, 9, 8, 5, 8, 5, 9, 8, 5, 9, 8, 5, 8, 5, 9, 8, 5, 8, 5, 9, 8, 5, 9, 8, 5, 8, 5, 9, 8, 5, 8, 9, 3, 9, 3, 8, 9, 3, 9, 3, 8, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Translate the sequence S to French, to get French(S) = UN, SIX, HUIT, CINQ, HUIT, NEUF, TROIS, HUIT, CINQ, NEUF, HUIT, CINQ, HUIT, NEUF, TROIS, NEUF, TROIS, HUIT, NEUF, TROIS, HUIT, CINQ, NEUF, ...

Then insert a stroke immediately after each letter "U" of S: U|N, SIX, HU|IT, CINQ, HU|IT, NEU|F, TROIS, HU|IT, CINQ, NEU|F, HU|IT, CINQ, HU|IT, NEU|F, TROIS, NEU|F, TROIS, HU|IT, NEU|F, TROIS, HU|IT, CINQ, NEU|F, ..."

Now the length of each chunk is given by the sequence S itself. In case of several possible choices compatible with this property, we require the smallest one to be chosen.

After the 2nd term, the only integers used are 3, 5, 8 and 9 in a seemingly chaotic order.

The author does not know if the sequence enters into a loop at some point. The shortest such known loop in French is [4,3,8] for segments delimited by the letter "T": QUAT|RE, T|ROIS, HUIT|, QUAT|RE, T|ROIS, HUIT|, QUAT|RE, T|ROIS, HUIT|, ...

LINKS

Table of n, a(n) for n=1..100.

CROSSREFS

Cf. A230763 for an English sequence with segments delimited by the letter "e" and A243992 for a base-10 sequence with segments delimited by the digit "1".

Sequence in context: A260691 A296845 A030644 * A073462 A231095 A201195

Adjacent sequences:  A319029 A319030 A319031 * A319033 A319034 A319035

KEYWORD

nonn,word

AUTHOR

Eric Angelini, Sep 08 2018

STATUS

approved

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Last modified May 9 17:41 EDT 2021. Contains 343742 sequences. (Running on oeis4.)