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A227865 Ending letter of a(n) equals starting letter of a(n+1), when spelled out in French; always choose the smallest possible number not yet used and not ending the sequence. 2
0, 11001, 900, 7, 3, 61, 901, 903, 63, 65, 41, 905, 43, 67, 31, 907, 33, 68, 35, 45, 47, 37, 38, 300, 77, 301, 908, 303, 78, 305, 48, 307, 308, 317, 318, 320, 321, 917, 323, 600, 601, 918, 325, 80, 603, 605, 81, 920 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

French version of a variant of A230862 without monotonicity.

No term must end in "deux", "quatre", "six", "neuf", "dix", "onze", "douze", "treize", "quatorze", "quinze", "seize", "trente", "quarante", "cinquante", "soixante", "mille", since there is no corresponding initial. The only possible endings are "zero", "un", "trois", "cinq", "(dix-)sept", "(dix-)huit", "vingt", "quatre-vingts", "cent(s)" and "million(s)" etc. This further reduces the possible initials to "n", "o", "q", "t", "s", with corresponding words: "neuf", "onze", "quatre/quatorze/quarante/quatre-vingt(s)", "trois/treize/trente" and "six/sept/seize/soixante(-dix)" (plus huge numbers like trillion, quadrillion, ...).

LINKS

Table of n, a(n) for n=1..48.

EXAMPLE

zérO, Onze mille uN, Neuf centS, SepT, TroiS, Soixante-et-uN, Neuf cent uN, Neuf cent troiS, Soixante-troiS, Soixante-cinQ, Quarante-et-uN, Neuf cent cinQ, Quarante-troiS, Soixante-sepT, Trente-et-uN, Neuf cent sepT, Trente-TroiS, Soixante-huiT, Trente-cinQ, Quarante-cinQ, Quarante-sepT, Trente-sepT, Trente-huiT, Trois centS, Soixante-dix-sepT, Trois cent uN, Neuf cent huiT, Trois cent troiS, Soixante-dix-huiT, Trois cent cinQ, Quarante-huiT, Trois cent sepT, Trois cent huiT, Trois cent dix-sepT, Trois cent dix-huiT, Trois cent vingT, Trois cent vingt et uN, Neuf cent dix-sepT, Trois cent vingt-troiS, Six centS, Six cent uN, Neuf cent dix-huiT, Trois cent vingt-cinQ, Quatre-vingtS, Six cent troiS, Six cent cinQ, Quatre-vingt-uN, Neuf cent vingT, ...

PROG

(PARI) spellout(seq)={ for(i=1, #seq, my(s=Vecsmall(French(seq[i]))); s[1]-=32; s[#s]-=32; print1(Strchr(s)", "))} /* see A167507 for French() */

CROSSREFS

Cf. A230862.

Sequence in context: A252039 A252033 A266983 * A267777 A034712 A178586

Adjacent sequences:  A227862 A227863 A227864 * A227866 A227867 A227868

KEYWORD

nonn,word

AUTHOR

M. F. Hasler, Nov 01 2013

STATUS

approved

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Last modified July 28 12:48 EDT 2017. Contains 289889 sequences.