A345712 - OEIS

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).

%I #6 Jun 24 2021 21:36:06

%S 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,

%T 28,40,108,33,3,57,38,62,35,26,65,66,23,24,136,70,129,48,75,138,61,47,

%U 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

%N 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).

%D Translated in French, the first names of the sequence are:

%D 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, ...

%D 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.

%Y Cf. A131744, A345711 (English version).

%K nonn,word

%O 1,1

%A _Eric Angelini_ and _Carole Dubois_, Jun 24 2021