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A345712
Lexicographically earliest sequence of distinct positive terms such that the French names of the entries form a new sequence of French names where every original entry is doubled (see the Comments section for an explanation and the Crossrefs section for the original English version).
6
5, 2, 8, 4, 7, 15, 12, 17, 6, 19, 18, 11, 27, 20, 9, 10, 25, 16, 13, 14, 105, 22, 30, 98, 32, 28, 40, 108, 33, 3, 57, 38, 62, 35, 26, 65, 66, 23, 24, 136, 70, 129, 48, 75, 138, 61, 47, 87, 68, 91, 31, 173, 97, 153, 77, 29, 58, 49, 60, 93, 106, 174, 96, 59, 114, 99, 54, 55, 42, 123, 128, 188, 102, 64
OFFSET
1,1
REFERENCES
Translated in French, the first names of the sequence are:
CINQ, DEUX, HUIT, QUATRE, SEPT, QUINZE, DOUZE, DIX-SEPT, SIX, DIX-NEUF, DIX-HUIT, ONZE, VINGT-SEPT, VINGT, NEUF, DIX, VINGT-CINQ, SEIZE, TREIZE, QUATORZE, CENT CINQ, VINGT-DEUX, TRENTE, QUATRE-VINGT-DIX-HUIT, TRENTE-DEUX, ...
If we now take the 5th letter of the above French sequence (D), the 2nd (I) and the 8th (X) we spell D.I.X. (TEN in French) and 10 is the double of a(1) = 5. We then take the 4th letter of the sequence (Q), the 7th (U), the 15th (A), the 12th (T), the 17th (R) and the 6th (E) to form Q.U.A.T.R.E. (FOUR in French) and 4 is the double of a(2) = 2. Etc.
CROSSREFS
Cf. A131744, A345711 (English version).
Sequence in context: A152956 A099873 A185353 * A355972 A168202 A153455
KEYWORD
nonn,word
AUTHOR
Eric Angelini and Carole Dubois, Jun 24 2021
STATUS
approved