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%I #13 Dec 23 2024 14:53:43
%S 0,1,8,10,19,90
%N Start with 0; each term when spelled out must start with the last letter of the previous term and must be the smallest such number that is greater than the previous term.
%C Two variations are possible: Not requiring monotonicity (i.e., the sequence could go: ZerO, OnE, EighT, TeN, NinE, EighteeN, NineteeN, ...), and imposing the additional constraint that the sequence does not stop right after the chosen number (so "NinetY" would be forbidden and "Ninety-onE" should be used instead). See A227865 for a French and A228442 for a German version using such rules. - _M. F. Hasler_, Nov 03 2013
%D David J. Bodycombe, "Riddles of the Sphinx", apparently mentions this puzzle.
%H E. Angelini, <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan/2013-November/011824.html">Re: A sequence in your style</a>, SeqFan list, Nov 01 2013
%H <a href="/index/En#English">Index entries for sequences related to the English words for numbers</a>
%e ZerO, OnE, EighT, TeN, NineteeN, NinetY (ends)
%Y Cf. A227865, A228442.
%K nonn,fini,full,word
%O 0,3
%A _N. J. A. Sloane_, Oct 31 2013, based on an email from George I. Bell, Boulder, CO.