A230862 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.

0, 1, 8, 10, 19, 90

Offset

0,3

Comments

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

References

David J. Bodycombe, "Riddles of the Sphinx", apparently mentions this puzzle.

Links

Table of n, a(n) for n=0..5.

E. Angelini, Re: A sequence in your style, SeqFan list, Nov 01 2013

Index entries for sequences related to the English words for numbers

Example

ZerO, OnE, EighT, TeN, NineteeN, NinetY (ends)

Crossrefs

Cf. A227865, A228442.

Sequence in context: A257274 A022322 A302637 * A281067 A070974 A300022

Adjacent sequences: A230859 A230860 A230861 * A230863 A230864 A230865

Keyword

nonn,fini,full,word

Author

N. J. A. Sloane, Oct 31 2013, based on an email from George I. Bell, Boulder, CO.

Status

approved