A210580 Concatenation of 1, 2, 3, ... represented in base 3/2 in the spirit of Champernowne's constant.

2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0

Offset

0,1

Comments

This real number in base 3/2 is given on p. 3 of Morgenbesser. It is analogous to the base 10/1 Champernowne's constant.

Write 1, 2, 3, 4, 5, 6, ... in base 3/2 to obtain 2, 21, 210, 212, 2101, 2120, 2122, ... and concatenate their digits. [Typo corrected by Eric M. Schmidt, Feb 26 2015]

The base 3/2 representation of n in the sense of Morgenbesser is given by A024629(2*n). - Eric M. Schmidt, Feb 26 2015

Links

Table of n, a(n) for n=0..86.

D. G. Champernowne, The Construction of Decimals Normal in the Scale of Ten, J. London Math. Soc., 8 (1933), 254-260.

Johannes F. Morgenbesser, Wolfgang Steiner (LIAFA), Jörg Thuswaldner, Patterns in rational base number systems", arXiv:1203.4919v1 [math.NT], Mar 22 2012.

Example

0.22121021221012120212221011 (base 3).

Crossrefs

Cf. A024629, A033307.

Sequence in context: A335060 A333058 A084348 * A284478 A298948 A085906

Adjacent sequences: A210577 A210578 A210579 * A210581 A210582 A210583

Keyword

nonn,base,cons

Author

Jonathan Vos Post, Mar 22 2012

Extensions

More terms from Eric M. Schmidt, Feb 26 2015

Status

approved