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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 (list; graph; refs; listen; history; text; internal format)
 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. LINKS Table of n, a(n) for n=1..74. CROSSREFS Cf. A131744, A345711 (English version). Sequence in context: A152956 A099873 A185353 * A355972 A168202 A153455 Adjacent sequences: A345709 A345710 A345711 * A345713 A345714 A345715 KEYWORD nonn,word AUTHOR Eric Angelini and Carole Dubois, Jun 24 2021 STATUS approved

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Last modified December 11 10:53 EST 2023. Contains 367722 sequences. (Running on oeis4.)