A244743 - OEIS

A244743

Smallest number n with ||n-1||-||n|| = k where ||n||=A005245(n) denotes the complexity of n.

6, 12, 24, 108, 720, 1440, 81648, 2041200, 612360000

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OFFSET

0,1

COMMENTS

The k-th term of this sequence is the least n with ||n-1||-||n|| = k if such an n exists.

It is conjectured that ||n-1||-||n|| is not bounded. But there is no proof that the sequence is infinite or is well defined.

LINKS

J. Arias de Reyna and J. van de Lune, The question "How many 1's are needed?" revisited, arXiv preprint arXiv:1404.1850 [math.NT], 2014.

EXAMPLE

||719||=23, ||720||=19, therefore ||719||-||720||=4. This is the first time the difference 4 appears in this way. Hence a(4)=720.

CROSSREFS

Cf. A005245, A252739 (see comments).

KEYWORD

nonn,more

AUTHOR

STATUS

approved